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Finding the Fourth Proportional to 10,059,125,921,167, 15,088,688,881,750 and 10,059,125,921,167

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Solution

The fourth proportional to 10,059,125,921,167, 15,088,688,881,750 and 10,059,125,921,167 is: 15,088,688,881,750

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059,125,921,167 : 15,088,688,881,750 = 10,059,125,921,167 : x
  2. Step 2: Convert to fraction form
    10,059,125,921,167/15,088,688,881,750 = 10,059,125,921,167/x
  3. Step 3: Cross multiply
    10,059,125,921,167x = 15,088,688,881,750 × 10,059,125,921,167
  4. Step 4: Simplify right side
    10,059,125,921,167x = 151,779,021,446,835,739,618,705,408
  5. Step 5: Solve for x
    x = 151,779,021,446,835,739,618,705,408/10,059,125,921,167
  6. Step 6: Final answer
    x = 15,088,688,881,750

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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.