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Finding the Fourth Proportional to 785,484,996,301.90, 1,178,227,494,452.80 and 785,484,996,301.90

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Solution

The fourth proportional to 785,484,996,301.90, 1,178,227,494,452.80 and 785,484,996,301.90 is: 1,178,227,494,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,484,996,301.90 : 1,178,227,494,452.80 = 785,484,996,301.90 : x
  2. Step 2: Convert to fraction form
    785,484,996,301.90/1,178,227,494,452.80 = 785,484,996,301.90/x
  3. Step 3: Cross multiply
    785,484,996,301.90x = 1,178,227,494,452.80 × 785,484,996,301.90
  4. Step 4: Simplify right side
    785,484,996,301.90x = 925,480,019,123,054,598,684,672
  5. Step 5: Solve for x
    x = 925,480,019,123,054,598,684,672/785,484,996,301.90
  6. Step 6: Final answer
    x = 1,178,227,494,452.80

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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.