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Finding the Fourth Proportional to 908,085,656.30, 1,359,976,148.40 and 908,085,656.30

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Solution

The fourth proportional to 908,085,656.30, 1,359,976,148.40 and 908,085,656.30 is: 1,359,976,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,085,656.30 : 1,359,976,148.40 = 908,085,656.30 : x
  2. Step 2: Convert to fraction form
    908,085,656.30/1,359,976,148.40 = 908,085,656.30/x
  3. Step 3: Cross multiply
    908,085,656.30x = 1,359,976,148.40 × 908,085,656.30
  4. Step 4: Simplify right side
    908,085,656.30x = 1,234,974,833,272,160,256
  5. Step 5: Solve for x
    x = 1,234,974,833,272,160,256/908,085,656.30
  6. Step 6: Final answer
    x = 1,359,976,148.40

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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.