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Finding the Fourth Proportional to 717,584,416.30, 1,005,298,427.30 and 717,584,416.30

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Solution

The fourth proportional to 717,584,416.30, 1,005,298,427.30 and 717,584,416.30 is: 1,005,298,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,584,416.30 : 1,005,298,427.30 = 717,584,416.30 : x
  2. Step 2: Convert to fraction form
    717,584,416.30/1,005,298,427.30 = 717,584,416.30/x
  3. Step 3: Cross multiply
    717,584,416.30x = 1,005,298,427.30 × 717,584,416.30
  4. Step 4: Simplify right side
    717,584,416.30x = 721,386,485,161,378,432
  5. Step 5: Solve for x
    x = 721,386,485,161,378,432/717,584,416.30
  6. Step 6: Final answer
    x = 1,005,298,427.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.