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Finding the Fourth Proportional to 804,818,537.90, 1,207,227,806.85 and 804,818,537.90

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Solution

The fourth proportional to 804,818,537.90, 1,207,227,806.85 and 804,818,537.90 is: 1,207,227,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,818,537.90 : 1,207,227,806.85 = 804,818,537.90 : x
  2. Step 2: Convert to fraction form
    804,818,537.90/1,207,227,806.85 = 804,818,537.90/x
  3. Step 3: Cross multiply
    804,818,537.90x = 1,207,227,806.85 × 804,818,537.90
  4. Step 4: Simplify right side
    804,818,537.90x = 971,599,318,421,240,448
  5. Step 5: Solve for x
    x = 971,599,318,421,240,448/804,818,537.90
  6. Step 6: Final answer
    x = 1,207,227,806.85

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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.