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Finding the Fourth Proportional to 869,793,776.40, 1,200,315,607.17 and 478,653,200.40

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Solution

The fourth proportional to 869,793,776.40, 1,200,315,607.17 and 478,653,200.40 is: 660,541,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,793,776.40 : 1,200,315,607.17 = 478,653,200.40 : x
  2. Step 2: Convert to fraction form
    869,793,776.40/1,200,315,607.17 = 478,653,200.40/x
  3. Step 3: Cross multiply
    869,793,776.40x = 1,200,315,607.17 × 478,653,200.40
  4. Step 4: Simplify right side
    869,793,776.40x = 574,534,906,861,989,696
  5. Step 5: Solve for x
    x = 574,534,906,861,989,696/869,793,776.40
  6. Step 6: Final answer
    x = 660,541,524.27

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