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Finding the Fourth Proportional to 713,233,493.60, 1,069,850,240.40 and 713,233,493.60

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Solution

The fourth proportional to 713,233,493.60, 1,069,850,240.40 and 713,233,493.60 is: 1,069,850,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,233,493.60 : 1,069,850,240.40 = 713,233,493.60 : x
  2. Step 2: Convert to fraction form
    713,233,493.60/1,069,850,240.40 = 713,233,493.60/x
  3. Step 3: Cross multiply
    713,233,493.60x = 1,069,850,240.40 × 713,233,493.60
  4. Step 4: Simplify right side
    713,233,493.60x = 763,053,024,589,291,904
  5. Step 5: Solve for x
    x = 763,053,024,589,291,904/713,233,493.60
  6. Step 6: Final answer
    x = 1,069,850,240.40

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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.