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Finding the Fourth Proportional to 316,898,468.70, 475,347,703.05 and 163,843,460.70

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Solution

The fourth proportional to 316,898,468.70, 475,347,703.05 and 163,843,460.70 is: 245,765,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,898,468.70 : 475,347,703.05 = 163,843,460.70 : x
  2. Step 2: Convert to fraction form
    316,898,468.70/475,347,703.05 = 163,843,460.70/x
  3. Step 3: Cross multiply
    316,898,468.70x = 475,347,703.05 × 163,843,460.70
  4. Step 4: Simplify right side
    316,898,468.70x = 77,882,612,703,507,936
  5. Step 5: Solve for x
    x = 77,882,612,703,507,936/316,898,468.70
  6. Step 6: Final answer
    x = 245,765,191.05

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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.