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Finding the Fourth Proportional to 1,125,647,999.80, 1,688,471,999.70 and 944,249,471.80

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Solution

The fourth proportional to 1,125,647,999.80, 1,688,471,999.70 and 944,249,471.80 is: 1,416,374,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125,647,999.80 : 1,688,471,999.70 = 944,249,471.80 : x
  2. Step 2: Convert to fraction form
    1,125,647,999.80/1,688,471,999.70 = 944,249,471.80/x
  3. Step 3: Cross multiply
    1,125,647,999.80x = 1,688,471,999.70 × 944,249,471.80
  4. Step 4: Simplify right side
    1,125,647,999.80x = 1,594,338,793,865,814,784
  5. Step 5: Solve for x
    x = 1,594,338,793,865,814,784/1,125,647,999.80
  6. Step 6: Final answer
    x = 1,416,374,207.70

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1.5x scale

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.