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Finding the Fourth Proportional to 702,277,642.60, 968,366,673.45 and 447,555,686.87

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Solution

The fourth proportional to 702,277,642.60, 968,366,673.45 and 447,555,686.87 is: 617,132,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,277,642.60 : 968,366,673.45 = 447,555,686.87 : x
  2. Step 2: Convert to fraction form
    702,277,642.60/968,366,673.45 = 447,555,686.87/x
  3. Step 3: Cross multiply
    702,277,642.60x = 968,366,673.45 × 447,555,686.87
  4. Step 4: Simplify right side
    702,277,642.60x = 433,398,011,680,352,704
  5. Step 5: Solve for x
    x = 433,398,011,680,352,704/702,277,642.60
  6. Step 6: Final answer
    x = 617,132,007.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.