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Finding the Fourth Proportional to 32,332,356,298.40, 48,498,534,447.60 and 32,332,356,298.40

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Solution

The fourth proportional to 32,332,356,298.40, 48,498,534,447.60 and 32,332,356,298.40 is: 48,498,534,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,332,356,298.40 : 48,498,534,447.60 = 32,332,356,298.40 : x
  2. Step 2: Convert to fraction form
    32,332,356,298.40/48,498,534,447.60 = 32,332,356,298.40/x
  3. Step 3: Cross multiply
    32,332,356,298.40x = 48,498,534,447.60 × 32,332,356,298.40
  4. Step 4: Simplify right side
    32,332,356,298.40x = 1,568,071,895,710,029,316,096
  5. Step 5: Solve for x
    x = 1,568,071,895,710,029,316,096/32,332,356,298.40
  6. Step 6: Final answer
    x = 48,498,534,447.60

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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.