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Finding the Fourth Proportional to 766,408,207.86, 1,057,643,751.94 and 413,984,200.49

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Solution

The fourth proportional to 766,408,207.86, 1,057,643,751.94 and 413,984,200.49 is: 571,298,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,408,207.86 : 1,057,643,751.94 = 413,984,200.49 : x
  2. Step 2: Convert to fraction form
    766,408,207.86/1,057,643,751.94 = 413,984,200.49/x
  3. Step 3: Cross multiply
    766,408,207.86x = 1,057,643,751.94 × 413,984,200.49
  4. Step 4: Simplify right side
    766,408,207.86x = 437,847,803,047,767,744
  5. Step 5: Solve for x
    x = 437,847,803,047,767,744/766,408,207.86
  6. Step 6: Final answer
    x = 571,298,426.29

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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.