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Finding the Fourth Proportional to 426,806,963.60, 599,142,180.40 and 426,806,963.60

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Solution

The fourth proportional to 426,806,963.60, 599,142,180.40 and 426,806,963.60 is: 599,142,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,806,963.60 : 599,142,180.40 = 426,806,963.60 : x
  2. Step 2: Convert to fraction form
    426,806,963.60/599,142,180.40 = 426,806,963.60/x
  3. Step 3: Cross multiply
    426,806,963.60x = 599,142,180.40 × 426,806,963.60
  4. Step 4: Simplify right side
    426,806,963.60x = 255,718,054,781,207,424
  5. Step 5: Solve for x
    x = 255,718,054,781,207,424/426,806,963.60
  6. Step 6: Final answer
    x = 599,142,180.40

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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.