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Finding the Fourth Proportional to 468,234,357.80, 646,116,322.40 and 259,351,472.76

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Solution

The fourth proportional to 468,234,357.80, 646,116,322.40 and 259,351,472.76 is: 357,878,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,234,357.80 : 646,116,322.40 = 259,351,472.76 : x
  2. Step 2: Convert to fraction form
    468,234,357.80/646,116,322.40 = 259,351,472.76/x
  3. Step 3: Cross multiply
    468,234,357.80x = 646,116,322.40 × 259,351,472.76
  4. Step 4: Simplify right side
    468,234,357.80x = 167,571,219,788,714,976
  5. Step 5: Solve for x
    x = 167,571,219,788,714,976/468,234,357.80
  6. Step 6: Final answer
    x = 357,878,948.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.