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Finding the Fourth Proportional to 1,602,854,846,892.50, 2,404,282,270,338.90 and 1,602,854,846,892.50

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Solution

The fourth proportional to 1,602,854,846,892.50, 2,404,282,270,338.90 and 1,602,854,846,892.50 is: 2,404,282,270,338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,854,846,892.50 : 2,404,282,270,338.90 = 1,602,854,846,892.50 : x
  2. Step 2: Convert to fraction form
    1,602,854,846,892.50/2,404,282,270,338.90 = 1,602,854,846,892.50/x
  3. Step 3: Cross multiply
    1,602,854,846,892.50x = 2,404,282,270,338.90 × 1,602,854,846,892.50
  4. Step 4: Simplify right side
    1,602,854,846,892.50x = 3,853,715,490,310,409,796,190,208
  5. Step 5: Solve for x
    x = 3,853,715,490,310,409,796,190,208/1,602,854,846,892.50
  6. Step 6: Final answer
    x = 2,404,282,270,338.90

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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.