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Finding the Fourth Proportional to 32,332,953,872.80, 48,499,430,809.20 and 32,332,953,872.80

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Solution

The fourth proportional to 32,332,953,872.80, 48,499,430,809.20 and 32,332,953,872.80 is: 48,499,430,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,332,953,872.80 : 48,499,430,809.20 = 32,332,953,872.80 : x
  2. Step 2: Convert to fraction form
    32,332,953,872.80/48,499,430,809.20 = 32,332,953,872.80/x
  3. Step 3: Cross multiply
    32,332,953,872.80x = 48,499,430,809.20 × 32,332,953,872.80
  4. Step 4: Simplify right side
    32,332,953,872.80x = 1,568,129,859,210,918,756,352
  5. Step 5: Solve for x
    x = 1,568,129,859,210,918,756,352/32,332,953,872.80
  6. Step 6: Final answer
    x = 48,499,430,809.20

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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.