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Finding the Fourth Proportional to 99,854,465.80, 149,781,698.70 and 99,854,465.80

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Solution

The fourth proportional to 99,854,465.80, 149,781,698.70 and 99,854,465.80 is: 149,781,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,854,465.80 : 149,781,698.70 = 99,854,465.80 : x
  2. Step 2: Convert to fraction form
    99,854,465.80/149,781,698.70 = 99,854,465.80/x
  3. Step 3: Cross multiply
    99,854,465.80x = 149,781,698.70 × 99,854,465.80
  4. Step 4: Simplify right side
    99,854,465.80x = 14,956,371,510,305,052
  5. Step 5: Solve for x
    x = 14,956,371,510,305,052/99,854,465.80
  6. Step 6: Final answer
    x = 149,781,698.70

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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.