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Finding the Fourth Proportional to 720,200,381.40, 993,877,534.84 and 390,175,520.40

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Solution

The fourth proportional to 720,200,381.40, 993,877,534.84 and 390,175,520.40 is: 538,442,764.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,200,381.40 : 993,877,534.84 = 390,175,520.40 : x
  2. Step 2: Convert to fraction form
    720,200,381.40/993,877,534.84 = 390,175,520.40/x
  3. Step 3: Cross multiply
    720,200,381.40x = 993,877,534.84 × 390,175,520.40
  4. Step 4: Simplify right side
    720,200,381.40x = 387,786,684,370,066,112
  5. Step 5: Solve for x
    x = 387,786,684,370,066,112/720,200,381.40
  6. Step 6: Final answer
    x = 538,442,764.52

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