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Finding the Fourth Proportional to 48,446,481,330.45, 72,669,721,995.68 and 48,446,481,330.45

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Solution

The fourth proportional to 48,446,481,330.45, 72,669,721,995.68 and 48,446,481,330.45 is: 72,669,721,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,446,481,330.45 : 72,669,721,995.68 = 48,446,481,330.45 : x
  2. Step 2: Convert to fraction form
    48,446,481,330.45/72,669,721,995.68 = 48,446,481,330.45/x
  3. Step 3: Cross multiply
    48,446,481,330.45x = 72,669,721,995.68 × 48,446,481,330.45
  4. Step 4: Simplify right side
    48,446,481,330.45x = 3,520,592,329,952,460,275,712
  5. Step 5: Solve for x
    x = 3,520,592,329,952,460,275,712/48,446,481,330.45
  6. Step 6: Final answer
    x = 72,669,721,995.68

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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.