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Finding the Fourth Proportional to 738,118,974.30, 1,107,178,461.45 and 738,118,974.30

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Solution

The fourth proportional to 738,118,974.30, 1,107,178,461.45 and 738,118,974.30 is: 1,107,178,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,118,974.30 : 1,107,178,461.45 = 738,118,974.30 : x
  2. Step 2: Convert to fraction form
    738,118,974.30/1,107,178,461.45 = 738,118,974.30/x
  3. Step 3: Cross multiply
    738,118,974.30x = 1,107,178,461.45 × 738,118,974.30
  4. Step 4: Simplify right side
    738,118,974.30x = 817,229,430,332,526,080
  5. Step 5: Solve for x
    x = 817,229,430,332,526,080/738,118,974.30
  6. Step 6: Final answer
    x = 1,107,178,461.45

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Double scale
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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.