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Finding the Fourth Proportional to 725,157,088.65, 1,000,822,757.31 and 407,643,486.03

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Solution

The fourth proportional to 725,157,088.65, 1,000,822,757.31 and 407,643,486.03 is: 562,607,584.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,157,088.65 : 1,000,822,757.31 = 407,643,486.03 : x
  2. Step 2: Convert to fraction form
    725,157,088.65/1,000,822,757.31 = 407,643,486.03/x
  3. Step 3: Cross multiply
    725,157,088.65x = 1,000,822,757.31 × 407,643,486.03
  4. Step 4: Simplify right side
    725,157,088.65x = 407,978,877,688,004,992
  5. Step 5: Solve for x
    x = 407,978,877,688,004,992/725,157,088.65
  6. Step 6: Final answer
    x = 562,607,584.03

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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.