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Finding the Fourth Proportional to 906,593,646.40, 1,359,890,469.60 and 886,438,254.40

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Solution

The fourth proportional to 906,593,646.40, 1,359,890,469.60 and 886,438,254.40 is: 1,329,657,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,593,646.40 : 1,359,890,469.60 = 886,438,254.40 : x
  2. Step 2: Convert to fraction form
    906,593,646.40/1,359,890,469.60 = 886,438,254.40/x
  3. Step 3: Cross multiply
    906,593,646.40x = 1,359,890,469.60 × 886,438,254.40
  4. Step 4: Simplify right side
    906,593,646.40x = 1,205,458,934,047,420,160
  5. Step 5: Solve for x
    x = 1,205,458,934,047,420,160/906,593,646.40
  6. Step 6: Final answer
    x = 1,329,657,381.60

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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.