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Finding the Fourth Proportional to 96,772,843.20, 145,159,267.20 and 96,772,843.20

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Solution

The fourth proportional to 96,772,843.20, 145,159,267.20 and 96,772,843.20 is: 145,159,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,772,843.20 : 145,159,267.20 = 96,772,843.20 : x
  2. Step 2: Convert to fraction form
    96,772,843.20/145,159,267.20 = 96,772,843.20/x
  3. Step 3: Cross multiply
    96,772,843.20x = 145,159,267.20 × 96,772,843.20
  4. Step 4: Simplify right side
    96,772,843.20x = 14,047,475,003,772,502
  5. Step 5: Solve for x
    x = 14,047,475,003,772,502/96,772,843.20
  6. Step 6: Final answer
    x = 145,159,267.20

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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.