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Finding the Fourth Proportional to 871,439,398.69, 1,202,611,574 and 474,988,066.42

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Solution

The fourth proportional to 871,439,398.69, 1,202,611,574 and 474,988,066.42 is: 655,497,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,439,398.69 : 1,202,611,574 = 474,988,066.42 : x
  2. Step 2: Convert to fraction form
    871,439,398.69/1,202,611,574 = 474,988,066.42/x
  3. Step 3: Cross multiply
    871,439,398.69x = 1,202,611,574 × 474,988,066.42
  4. Step 4: Simplify right side
    871,439,398.69x = 571,226,146,188,572,736
  5. Step 5: Solve for x
    x = 571,226,146,188,572,736/871,439,398.69
  6. Step 6: Final answer
    x = 655,497,269.28

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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.