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Finding the Fourth Proportional to 155,142,442,805.40, 232,713,664,208.10 and 155,142,442,805.40

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Solution

The fourth proportional to 155,142,442,805.40, 232,713,664,208.10 and 155,142,442,805.40 is: 232,713,664,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,142,442,805.40 : 232,713,664,208.10 = 155,142,442,805.40 : x
  2. Step 2: Convert to fraction form
    155,142,442,805.40/232,713,664,208.10 = 155,142,442,805.40/x
  3. Step 3: Cross multiply
    155,142,442,805.40x = 232,713,664,208.10 × 155,142,442,805.40
  4. Step 4: Simplify right side
    155,142,442,805.40x = 36,103,766,339,440,212,967,424
  5. Step 5: Solve for x
    x = 36,103,766,339,440,212,967,424/155,142,442,805.40
  6. Step 6: Final answer
    x = 232,713,664,208.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.