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Finding the Fourth Proportional to 7,646,684,617.80, 11,470,026,926.70 and 7,646,684,617.80

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Solution

The fourth proportional to 7,646,684,617.80, 11,470,026,926.70 and 7,646,684,617.80 is: 11,470,026,926.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646,684,617.80 : 11,470,026,926.70 = 7,646,684,617.80 : x
  2. Step 2: Convert to fraction form
    7,646,684,617.80/11,470,026,926.70 = 7,646,684,617.80/x
  3. Step 3: Cross multiply
    7,646,684,617.80x = 11,470,026,926.70 × 7,646,684,617.80
  4. Step 4: Simplify right side
    7,646,684,617.80x = 87,707,678,466,148,712,448
  5. Step 5: Solve for x
    x = 87,707,678,466,148,712,448/7,646,684,617.80
  6. Step 6: Final answer
    x = 11,470,026,926.70

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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.