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Finding the Fourth Proportional to 402,012,381.40, 601,743,113.70 and 402,012,381.40

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Solution

The fourth proportional to 402,012,381.40, 601,743,113.70 and 402,012,381.40 is: 601,743,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,012,381.40 : 601,743,113.70 = 402,012,381.40 : x
  2. Step 2: Convert to fraction form
    402,012,381.40/601,743,113.70 = 402,012,381.40/x
  3. Step 3: Cross multiply
    402,012,381.40x = 601,743,113.70 × 402,012,381.40
  4. Step 4: Simplify right side
    402,012,381.40x = 241,908,182,129,587,968
  5. Step 5: Solve for x
    x = 241,908,182,129,587,968/402,012,381.40
  6. Step 6: Final answer
    x = 601,743,113.70

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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.