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Finding the Fourth Proportional to 14,427,641,780.80, 21,607,025,294.40 and 14,427,641,780.80

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Solution

The fourth proportional to 14,427,641,780.80, 21,607,025,294.40 and 14,427,641,780.80 is: 21,607,025,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,427,641,780.80 : 21,607,025,294.40 = 14,427,641,780.80 : x
  2. Step 2: Convert to fraction form
    14,427,641,780.80/21,607,025,294.40 = 14,427,641,780.80/x
  3. Step 3: Cross multiply
    14,427,641,780.80x = 21,607,025,294.40 × 14,427,641,780.80
  4. Step 4: Simplify right side
    14,427,641,780.80x = 311,738,420,896,287,883,264
  5. Step 5: Solve for x
    x = 311,738,420,896,287,883,264/14,427,641,780.80
  6. Step 6: Final answer
    x = 21,607,025,294.40

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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.