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Finding the Fourth Proportional to 906,552,736.60, 1,359,829,104.90 and 709,281,837.40

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Solution

The fourth proportional to 906,552,736.60, 1,359,829,104.90 and 709,281,837.40 is: 1,063,922,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,552,736.60 : 1,359,829,104.90 = 709,281,837.40 : x
  2. Step 2: Convert to fraction form
    906,552,736.60/1,359,829,104.90 = 709,281,837.40/x
  3. Step 3: Cross multiply
    906,552,736.60x = 1,359,829,104.90 × 709,281,837.40
  4. Step 4: Simplify right side
    906,552,736.60x = 964,502,086,073,469,440
  5. Step 5: Solve for x
    x = 964,502,086,073,469,440/906,552,736.60
  6. Step 6: Final answer
    x = 1,063,922,756.10

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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.