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Finding the Fourth Proportional to 119,044,387,200.85, 178,566,580,801.27 and 119,044,387,200.85

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Solution

The fourth proportional to 119,044,387,200.85, 178,566,580,801.27 and 119,044,387,200.85 is: 178,566,580,801.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,044,387,200.85 : 178,566,580,801.27 = 119,044,387,200.85 : x
  2. Step 2: Convert to fraction form
    119,044,387,200.85/178,566,580,801.27 = 119,044,387,200.85/x
  3. Step 3: Cross multiply
    119,044,387,200.85x = 178,566,580,801.27 × 119,044,387,200.85
  4. Step 4: Simplify right side
    119,044,387,200.85x = 21,257,349,186,038,255,321,088
  5. Step 5: Solve for x
    x = 21,257,349,186,038,255,321,088/119,044,387,200.85
  6. Step 6: Final answer
    x = 178,566,580,801.27

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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.