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Finding the Fourth Proportional to 6,456,025,904.80, 9,668,733,356.40 and 6,456,025,904.80

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Solution

The fourth proportional to 6,456,025,904.80, 9,668,733,356.40 and 6,456,025,904.80 is: 9,668,733,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456,025,904.80 : 9,668,733,356.40 = 6,456,025,904.80 : x
  2. Step 2: Convert to fraction form
    6,456,025,904.80/9,668,733,356.40 = 6,456,025,904.80/x
  3. Step 3: Cross multiply
    6,456,025,904.80x = 9,668,733,356.40 × 6,456,025,904.80
  4. Step 4: Simplify right side
    6,456,025,904.80x = 62,421,593,015,522,246,656
  5. Step 5: Solve for x
    x = 62,421,593,015,522,246,656/6,456,025,904.80
  6. Step 6: Final answer
    x = 9,668,733,356.40

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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.