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Finding the Fourth Proportional to 64,152,046.80, 96,144,089.40 and 25,782,152.40

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Solution

The fourth proportional to 64,152,046.80, 96,144,089.40 and 25,782,152.40 is: 38,639,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,152,046.80 : 96,144,089.40 = 25,782,152.40 : x
  2. Step 2: Convert to fraction form
    64,152,046.80/96,144,089.40 = 25,782,152.40/x
  3. Step 3: Cross multiply
    64,152,046.80x = 96,144,089.40 × 25,782,152.40
  4. Step 4: Simplify right side
    64,152,046.80x = 2,478,801,565,270,024.50
  5. Step 5: Solve for x
    x = 2,478,801,565,270,024.50/64,152,046.80
  6. Step 6: Final answer
    x = 38,639,477.44

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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.