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Finding the Fourth Proportional to 97,855,320.80, 146,782,981.20 and 29,697,903.20

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Solution

The fourth proportional to 97,855,320.80, 146,782,981.20 and 29,697,903.20 is: 44,546,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,855,320.80 : 146,782,981.20 = 29,697,903.20 : x
  2. Step 2: Convert to fraction form
    97,855,320.80/146,782,981.20 = 29,697,903.20/x
  3. Step 3: Cross multiply
    97,855,320.80x = 146,782,981.20 × 29,697,903.20
  4. Step 4: Simplify right side
    97,855,320.80x = 4,359,146,767,085,019.50
  5. Step 5: Solve for x
    x = 4,359,146,767,085,019.50/97,855,320.80
  6. Step 6: Final answer
    x = 44,546,854.80

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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.