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Finding the Fourth Proportional to 21,262,944,326.40, 31,894,416,489.60 and 21,262,944,326.40

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Solution

The fourth proportional to 21,262,944,326.40, 31,894,416,489.60 and 21,262,944,326.40 is: 31,894,416,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,262,944,326.40 : 31,894,416,489.60 = 21,262,944,326.40 : x
  2. Step 2: Convert to fraction form
    21,262,944,326.40/31,894,416,489.60 = 21,262,944,326.40/x
  3. Step 3: Cross multiply
    21,262,944,326.40x = 31,894,416,489.60 × 21,262,944,326.40
  4. Step 4: Simplify right side
    21,262,944,326.40x = 678,169,202,141,378,904,064
  5. Step 5: Solve for x
    x = 678,169,202,141,378,904,064/21,262,944,326.40
  6. Step 6: Final answer
    x = 31,894,416,489.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.