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Finding the Fourth Proportional to 48,478,714.70, 72,718,072.05 and 48,478,714.70

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Solution

The fourth proportional to 48,478,714.70, 72,718,072.05 and 48,478,714.70 is: 72,718,072.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,478,714.70 : 72,718,072.05 = 48,478,714.70 : x
  2. Step 2: Convert to fraction form
    48,478,714.70/72,718,072.05 = 48,478,714.70/x
  3. Step 3: Cross multiply
    48,478,714.70x = 72,718,072.05 × 48,478,714.70
  4. Step 4: Simplify right side
    48,478,714.70x = 3,525,278,668,445,994
  5. Step 5: Solve for x
    x = 3,525,278,668,445,994/48,478,714.70
  6. Step 6: Final answer
    x = 72,718,072.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.