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Finding the Fourth Proportional to 652,229,365.68, 978,774,515.76 and 345,736,712.16

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Solution

The fourth proportional to 652,229,365.68, 978,774,515.76 and 345,736,712.16 is: 518,833,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,229,365.68 : 978,774,515.76 = 345,736,712.16 : x
  2. Step 2: Convert to fraction form
    652,229,365.68/978,774,515.76 = 345,736,712.16/x
  3. Step 3: Cross multiply
    652,229,365.68x = 978,774,515.76 × 345,736,712.16
  4. Step 4: Simplify right side
    652,229,365.68x = 338,398,283,024,858,496
  5. Step 5: Solve for x
    x = 338,398,283,024,858,496/652,229,365.68
  6. Step 6: Final answer
    x = 518,833,252.27

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Why These Related Problems?

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