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Finding the Fourth Proportional to 47,525,114,447.70, 71,287,671,671.55 and 47,525,114,447.70

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Solution

The fourth proportional to 47,525,114,447.70, 71,287,671,671.55 and 47,525,114,447.70 is: 71,287,671,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,525,114,447.70 : 71,287,671,671.55 = 47,525,114,447.70 : x
  2. Step 2: Convert to fraction form
    47,525,114,447.70/71,287,671,671.55 = 47,525,114,447.70/x
  3. Step 3: Cross multiply
    47,525,114,447.70x = 71,287,671,671.55 × 47,525,114,447.70
  4. Step 4: Simplify right side
    47,525,114,447.70x = 3,387,954,754,900,474,724,352
  5. Step 5: Solve for x
    x = 3,387,954,754,900,474,724,352/47,525,114,447.70
  6. Step 6: Final answer
    x = 71,287,671,671.55

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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.