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Finding the Fourth Proportional to 700,788,176.40, 1,051,182,264.60 and 700,788,176.40

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Solution

The fourth proportional to 700,788,176.40, 1,051,182,264.60 and 700,788,176.40 is: 1,051,182,264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,788,176.40 : 1,051,182,264.60 = 700,788,176.40 : x
  2. Step 2: Convert to fraction form
    700,788,176.40/1,051,182,264.60 = 700,788,176.40/x
  3. Step 3: Cross multiply
    700,788,176.40x = 1,051,182,264.60 × 700,788,176.40
  4. Step 4: Simplify right side
    700,788,176.40x = 736,656,102,273,056,256
  5. Step 5: Solve for x
    x = 736,656,102,273,056,256/700,788,176.40
  6. Step 6: Final answer
    x = 1,051,182,264.60

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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.