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Finding the Fourth Proportional to 81,452,208,543.45, 122,178,312,815.17 and 81,452,208,543.45

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Solution

The fourth proportional to 81,452,208,543.45, 122,178,312,815.17 and 81,452,208,543.45 is: 122,178,312,815.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,452,208,543.45 : 122,178,312,815.17 = 81,452,208,543.45 : x
  2. Step 2: Convert to fraction form
    81,452,208,543.45/122,178,312,815.17 = 81,452,208,543.45/x
  3. Step 3: Cross multiply
    81,452,208,543.45x = 122,178,312,815.17 × 81,452,208,543.45
  4. Step 4: Simplify right side
    81,452,208,543.45x = 9,951,693,414,908,095,889,408
  5. Step 5: Solve for x
    x = 9,951,693,414,908,095,889,408/81,452,208,543.45
  6. Step 6: Final answer
    x = 122,178,312,815.17

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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.