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Finding the Fourth Proportional to 1,294,712,323.65, 1,942,068,485.49 and 1,294,712,323.65

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Solution

The fourth proportional to 1,294,712,323.65, 1,942,068,485.49 and 1,294,712,323.65 is: 1,942,068,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,712,323.65 : 1,942,068,485.49 = 1,294,712,323.65 : x
  2. Step 2: Convert to fraction form
    1,294,712,323.65/1,942,068,485.49 = 1,294,712,323.65/x
  3. Step 3: Cross multiply
    1,294,712,323.65x = 1,942,068,485.49 × 1,294,712,323.65
  4. Step 4: Simplify right side
    1,294,712,323.65x = 2,514,420,001,536,194,560
  5. Step 5: Solve for x
    x = 2,514,420,001,536,194,560/1,294,712,323.65
  6. Step 6: Final answer
    x = 1,942,068,485.49

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.