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Finding the Fourth Proportional to 595,733,809.20, 893,600,713.80 and 159,033,649.20

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Solution

The fourth proportional to 595,733,809.20, 893,600,713.80 and 159,033,649.20 is: 238,550,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,733,809.20 : 893,600,713.80 = 159,033,649.20 : x
  2. Step 2: Convert to fraction form
    595,733,809.20/893,600,713.80 = 159,033,649.20/x
  3. Step 3: Cross multiply
    595,733,809.20x = 893,600,713.80 × 159,033,649.20
  4. Step 4: Simplify right side
    595,733,809.20x = 142,112,582,443,338,784
  5. Step 5: Solve for x
    x = 142,112,582,443,338,784/595,733,809.20
  6. Step 6: Final answer
    x = 238,550,473.80

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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.