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Finding the Fourth Proportional to 71,837,172,021.60, 107,755,758,032.40 and 71,837,172,021.60

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Solution

The fourth proportional to 71,837,172,021.60, 107,755,758,032.40 and 71,837,172,021.60 is: 107,755,758,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,837,172,021.60 : 107,755,758,032.40 = 71,837,172,021.60 : x
  2. Step 2: Convert to fraction form
    71,837,172,021.60/107,755,758,032.40 = 71,837,172,021.60/x
  3. Step 3: Cross multiply
    71,837,172,021.60x = 107,755,758,032.40 × 71,837,172,021.60
  4. Step 4: Simplify right side
    71,837,172,021.60x = 7,740,868,926,091,424,694,272
  5. Step 5: Solve for x
    x = 7,740,868,926,091,424,694,272/71,837,172,021.60
  6. Step 6: Final answer
    x = 107,755,758,032.40

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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.