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Finding the Fourth Proportional to 102,151,496,656.70, 153,227,244,985.05 and 102,151,496,656.70

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Solution

The fourth proportional to 102,151,496,656.70, 153,227,244,985.05 and 102,151,496,656.70 is: 153,227,244,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,151,496,656.70 : 153,227,244,985.05 = 102,151,496,656.70 : x
  2. Step 2: Convert to fraction form
    102,151,496,656.70/153,227,244,985.05 = 102,151,496,656.70/x
  3. Step 3: Cross multiply
    102,151,496,656.70x = 153,227,244,985.05 × 102,151,496,656.70
  4. Step 4: Simplify right side
    102,151,496,656.70x = 15,652,392,403,805,686,202,368
  5. Step 5: Solve for x
    x = 15,652,392,403,805,686,202,368/102,151,496,656.70
  6. Step 6: Final answer
    x = 153,227,244,985.05

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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.