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Finding the Fourth Proportional to 413,157,071.40, 618,300,716.40 and 284,016,908.40

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Solution

The fourth proportional to 413,157,071.40, 618,300,716.40 and 284,016,908.40 is: 425,038,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,157,071.40 : 618,300,716.40 = 284,016,908.40 : x
  2. Step 2: Convert to fraction form
    413,157,071.40/618,300,716.40 = 284,016,908.40/x
  3. Step 3: Cross multiply
    413,157,071.40x = 618,300,716.40 × 284,016,908.40
  4. Step 4: Simplify right side
    413,157,071.40x = 175,607,857,933,433,152
  5. Step 5: Solve for x
    x = 175,607,857,933,433,152/413,157,071.40
  6. Step 6: Final answer
    x = 425,038,974.50

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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.