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Finding the Fourth Proportional to 316,463,669.80, 474,695,504.70 and 194,019,663.40

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Solution

The fourth proportional to 316,463,669.80, 474,695,504.70 and 194,019,663.40 is: 291,029,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,463,669.80 : 474,695,504.70 = 194,019,663.40 : x
  2. Step 2: Convert to fraction form
    316,463,669.80/474,695,504.70 = 194,019,663.40/x
  3. Step 3: Cross multiply
    316,463,669.80x = 474,695,504.70 × 194,019,663.40
  4. Step 4: Simplify right side
    316,463,669.80x = 92,100,262,039,387,120
  5. Step 5: Solve for x
    x = 92,100,262,039,387,120/316,463,669.80
  6. Step 6: Final answer
    x = 291,029,495.10

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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.