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Finding the Fourth Proportional to 6,287,429,868.60, 9,431,144,802.90 and 6,287,429,868.60

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Solution

The fourth proportional to 6,287,429,868.60, 9,431,144,802.90 and 6,287,429,868.60 is: 9,431,144,802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287,429,868.60 : 9,431,144,802.90 = 6,287,429,868.60 : x
  2. Step 2: Convert to fraction form
    6,287,429,868.60/9,431,144,802.90 = 6,287,429,868.60/x
  3. Step 3: Cross multiply
    6,287,429,868.60x = 9,431,144,802.90 × 6,287,429,868.60
  4. Step 4: Simplify right side
    6,287,429,868.60x = 59,297,661,528,845,123,584
  5. Step 5: Solve for x
    x = 59,297,661,528,845,123,584/6,287,429,868.60
  6. Step 6: Final answer
    x = 9,431,144,802.90

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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.