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Finding the Fourth Proportional to 32,472,578,476.15, 48,708,867,714.23 and 32,472,578,476.15

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Solution

The fourth proportional to 32,472,578,476.15, 48,708,867,714.23 and 32,472,578,476.15 is: 48,708,867,714.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,472,578,476.15 : 48,708,867,714.23 = 32,472,578,476.15 : x
  2. Step 2: Convert to fraction form
    32,472,578,476.15/48,708,867,714.23 = 32,472,578,476.15/x
  3. Step 3: Cross multiply
    32,472,578,476.15x = 48,708,867,714.23 × 32,472,578,476.15
  4. Step 4: Simplify right side
    32,472,578,476.15x = 1,581,702,529,334,580,346,880
  5. Step 5: Solve for x
    x = 1,581,702,529,334,580,346,880/32,472,578,476.15
  6. Step 6: Final answer
    x = 48,708,867,714.23

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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.