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Finding the Fourth Proportional to 651,730,459.20, 978,729,429.60 and 345,620,443.20

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Solution

The fourth proportional to 651,730,459.20, 978,729,429.60 and 345,620,443.20 is: 519,031,901.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,730,459.20 : 978,729,429.60 = 345,620,443.20 : x
  2. Step 2: Convert to fraction form
    651,730,459.20/978,729,429.60 = 345,620,443.20/x
  3. Step 3: Cross multiply
    651,730,459.20x = 978,729,429.60 × 345,620,443.20
  4. Step 4: Simplify right side
    651,730,459.20x = 338,268,899,231,235,200
  5. Step 5: Solve for x
    x = 338,268,899,231,235,200/651,730,459.20
  6. Step 6: Final answer
    x = 519,031,901.08

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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.