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Finding the Fourth Proportional to 141,736,189,644.90, 212,604,284,467.35 and 141,736,189,644.90

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Solution

The fourth proportional to 141,736,189,644.90, 212,604,284,467.35 and 141,736,189,644.90 is: 212,604,284,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,736,189,644.90 : 212,604,284,467.35 = 141,736,189,644.90 : x
  2. Step 2: Convert to fraction form
    141,736,189,644.90/212,604,284,467.35 = 141,736,189,644.90/x
  3. Step 3: Cross multiply
    141,736,189,644.90x = 212,604,284,467.35 × 141,736,189,644.90
  4. Step 4: Simplify right side
    141,736,189,644.90x = 30,133,721,182,582,586,998,784
  5. Step 5: Solve for x
    x = 30,133,721,182,582,586,998,784/141,736,189,644.90
  6. Step 6: Final answer
    x = 212,604,284,467.35

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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.