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Finding the Fourth Proportional to 891,758,605,500.05, 1,337,637,908,250.10 and 891,758,605,500.05

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Solution

The fourth proportional to 891,758,605,500.05, 1,337,637,908,250.10 and 891,758,605,500.05 is: 1,337,637,908,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,758,605,500.05 : 1,337,637,908,250.10 = 891,758,605,500.05 : x
  2. Step 2: Convert to fraction form
    891,758,605,500.05/1,337,637,908,250.10 = 891,758,605,500.05/x
  3. Step 3: Cross multiply
    891,758,605,500.05x = 1,337,637,908,250.10 × 891,758,605,500.05
  4. Step 4: Simplify right side
    891,758,605,500.05x = 1,192,850,115,725,113,151,193,088
  5. Step 5: Solve for x
    x = 1,192,850,115,725,113,151,193,088/891,758,605,500.05
  6. Step 6: Final answer
    x = 1,337,637,908,250.10

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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.