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Finding the Fourth Proportional to 872,979,952.07, 1,309,457,594.64 and 406,380,400.68

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Solution

The fourth proportional to 872,979,952.07, 1,309,457,594.64 and 406,380,400.68 is: 609,564,859.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,979,952.07 : 1,309,457,594.64 = 406,380,400.68 : x
  2. Step 2: Convert to fraction form
    872,979,952.07/1,309,457,594.64 = 406,380,400.68/x
  3. Step 3: Cross multiply
    872,979,952.07x = 1,309,457,594.64 × 406,380,400.68
  4. Step 4: Simplify right side
    872,979,952.07x = 532,137,901,989,726,912
  5. Step 5: Solve for x
    x = 532,137,901,989,726,912/872,979,952.07
  6. Step 6: Final answer
    x = 609,564,859.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.