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Finding the Fourth Proportional to 54,497,431,999.40, 81,746,147,999.10 and 54,497,431,999.40

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Solution

The fourth proportional to 54,497,431,999.40, 81,746,147,999.10 and 54,497,431,999.40 is: 81,746,147,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,497,431,999.40 : 81,746,147,999.10 = 54,497,431,999.40 : x
  2. Step 2: Convert to fraction form
    54,497,431,999.40/81,746,147,999.10 = 54,497,431,999.40/x
  3. Step 3: Cross multiply
    54,497,431,999.40x = 81,746,147,999.10 × 54,497,431,999.40
  4. Step 4: Simplify right side
    54,497,431,999.40x = 4,454,955,141,793,841,152,000
  5. Step 5: Solve for x
    x = 4,454,955,141,793,841,152,000/54,497,431,999.40
  6. Step 6: Final answer
    x = 81,746,147,999.10

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1.5x scale

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.