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Finding the Fourth Proportional to 356,602,915.80, 498,223,715.40 and 356,602,915.80

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Solution

The fourth proportional to 356,602,915.80, 498,223,715.40 and 356,602,915.80 is: 498,223,715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,602,915.80 : 498,223,715.40 = 356,602,915.80 : x
  2. Step 2: Convert to fraction form
    356,602,915.80/498,223,715.40 = 356,602,915.80/x
  3. Step 3: Cross multiply
    356,602,915.80x = 498,223,715.40 × 356,602,915.80
  4. Step 4: Simplify right side
    356,602,915.80x = 177,668,029,632,349,376
  5. Step 5: Solve for x
    x = 177,668,029,632,349,376/356,602,915.80
  6. Step 6: Final answer
    x = 498,223,715.40

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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.