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Finding the Fourth Proportional to 902,016,098.90, 1,353,024,148.36 and 902,016,098.90

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Solution

The fourth proportional to 902,016,098.90, 1,353,024,148.36 and 902,016,098.90 is: 1,353,024,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,016,098.90 : 1,353,024,148.36 = 902,016,098.90 : x
  2. Step 2: Convert to fraction form
    902,016,098.90/1,353,024,148.36 = 902,016,098.90/x
  3. Step 3: Cross multiply
    902,016,098.90x = 1,353,024,148.36 × 902,016,098.90
  4. Step 4: Simplify right side
    902,016,098.90x = 1,220,449,564,021,181,952
  5. Step 5: Solve for x
    x = 1,220,449,564,021,181,952/902,016,098.90
  6. Step 6: Final answer
    x = 1,353,024,148.36

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1.5x scale

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.