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Finding the Fourth Proportional to 352,299,471,641.60, 528,449,207,462.40 and 352,299,471,641.60

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Solution

The fourth proportional to 352,299,471,641.60, 528,449,207,462.40 and 352,299,471,641.60 is: 528,449,207,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,299,471,641.60 : 528,449,207,462.40 = 352,299,471,641.60 : x
  2. Step 2: Convert to fraction form
    352,299,471,641.60/528,449,207,462.40 = 352,299,471,641.60/x
  3. Step 3: Cross multiply
    352,299,471,641.60x = 528,449,207,462.40 × 352,299,471,641.60
  4. Step 4: Simplify right side
    352,299,471,641.60x = 186,172,376,578,425,777,815,552
  5. Step 5: Solve for x
    x = 186,172,376,578,425,777,815,552/352,299,471,641.60
  6. Step 6: Final answer
    x = 528,449,207,462.40

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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.