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Finding the Fourth Proportional to 16,096,919.90, 22,565,547.70 and 16,096,919.90

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Solution

The fourth proportional to 16,096,919.90, 22,565,547.70 and 16,096,919.90 is: 22,565,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096,919.90 : 22,565,547.70 = 16,096,919.90 : x
  2. Step 2: Convert to fraction form
    16,096,919.90/22,565,547.70 = 16,096,919.90/x
  3. Step 3: Cross multiply
    16,096,919.90x = 22,565,547.70 × 16,096,919.90
  4. Step 4: Simplify right side
    16,096,919.90x = 363,235,813,826,529.25
  5. Step 5: Solve for x
    x = 363,235,813,826,529.25/16,096,919.90
  6. Step 6: Final answer
    x = 22,565,547.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.