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Finding the Fourth Proportional to 21,266,262,374.40, 31,899,393,561.60 and 21,266,262,374.40

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Solution

The fourth proportional to 21,266,262,374.40, 31,899,393,561.60 and 21,266,262,374.40 is: 31,899,393,561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,266,262,374.40 : 31,899,393,561.60 = 21,266,262,374.40 : x
  2. Step 2: Convert to fraction form
    21,266,262,374.40/31,899,393,561.60 = 21,266,262,374.40/x
  3. Step 3: Cross multiply
    21,266,262,374.40x = 31,899,393,561.60 × 21,266,262,374.40
  4. Step 4: Simplify right side
    21,266,262,374.40x = 678,380,873,065,231,679,488
  5. Step 5: Solve for x
    x = 678,380,873,065,231,679,488/21,266,262,374.40
  6. Step 6: Final answer
    x = 31,899,393,561.60

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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.