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Finding the Fourth Proportional to 360,786,818.56, 497,887,175.13 and 195,774,388.06

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Solution

The fourth proportional to 360,786,818.56, 497,887,175.13 and 195,774,388.06 is: 270,169,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,786,818.56 : 497,887,175.13 = 195,774,388.06 : x
  2. Step 2: Convert to fraction form
    360,786,818.56/497,887,175.13 = 195,774,388.06/x
  3. Step 3: Cross multiply
    360,786,818.56x = 497,887,175.13 × 195,774,388.06
  4. Step 4: Simplify right side
    360,786,818.56x = 97,473,557,033,997,808
  5. Step 5: Solve for x
    x = 97,473,557,033,997,808/360,786,818.56
  6. Step 6: Final answer
    x = 270,169,396.50

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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.