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Finding the Fourth Proportional to 186,437,376,041.60, 279,656,064,062.40 and 186,437,376,041.60

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Solution

The fourth proportional to 186,437,376,041.60, 279,656,064,062.40 and 186,437,376,041.60 is: 279,656,064,062.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,437,376,041.60 : 279,656,064,062.40 = 186,437,376,041.60 : x
  2. Step 2: Convert to fraction form
    186,437,376,041.60/279,656,064,062.40 = 186,437,376,041.60/x
  3. Step 3: Cross multiply
    186,437,376,041.60x = 279,656,064,062.40 × 186,437,376,041.60
  4. Step 4: Simplify right side
    186,437,376,041.60x = 52,138,342,777,915,455,832,064
  5. Step 5: Solve for x
    x = 52,138,342,777,915,455,832,064/186,437,376,041.60
  6. Step 6: Final answer
    x = 279,656,064,062.40

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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.