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Finding the Fourth Proportional to 284,168,087.40, 398,238,430.20 and 284,168,087.40

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Solution

The fourth proportional to 284,168,087.40, 398,238,430.20 and 284,168,087.40 is: 398,238,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,168,087.40 : 398,238,430.20 = 284,168,087.40 : x
  2. Step 2: Convert to fraction form
    284,168,087.40/398,238,430.20 = 284,168,087.40/x
  3. Step 3: Cross multiply
    284,168,087.40x = 398,238,430.20 × 284,168,087.40
  4. Step 4: Simplify right side
    284,168,087.40x = 113,166,653,039,112,384
  5. Step 5: Solve for x
    x = 113,166,653,039,112,384/284,168,087.40
  6. Step 6: Final answer
    x = 398,238,430.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.