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Finding the Fourth Proportional to 183,729,402,274.52, 275,594,103,411.78 and 183,729,402,274.52

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Solution

The fourth proportional to 183,729,402,274.52, 275,594,103,411.78 and 183,729,402,274.52 is: 275,594,103,411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,729,402,274.52 : 275,594,103,411.78 = 183,729,402,274.52 : x
  2. Step 2: Convert to fraction form
    183,729,402,274.52/275,594,103,411.78 = 183,729,402,274.52/x
  3. Step 3: Cross multiply
    183,729,402,274.52x = 275,594,103,411.78 × 183,729,402,274.52
  4. Step 4: Simplify right side
    183,729,402,274.52x = 50,634,739,890,228,593,426,432
  5. Step 5: Solve for x
    x = 50,634,739,890,228,593,426,432/183,729,402,274.52
  6. Step 6: Final answer
    x = 275,594,103,411.78

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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.