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Finding the Fourth Proportional to 183,729,402,274.09, 275,594,103,411.13 and 183,729,402,274.09

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Solution

The fourth proportional to 183,729,402,274.09, 275,594,103,411.13 and 183,729,402,274.09 is: 275,594,103,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,729,402,274.09 : 275,594,103,411.13 = 183,729,402,274.09 : x
  2. Step 2: Convert to fraction form
    183,729,402,274.09/275,594,103,411.13 = 183,729,402,274.09/x
  3. Step 3: Cross multiply
    183,729,402,274.09x = 275,594,103,411.13 × 183,729,402,274.09
  4. Step 4: Simplify right side
    183,729,402,274.09x = 50,634,739,889,990,658,949,120
  5. Step 5: Solve for x
    x = 50,634,739,889,990,658,949,120/183,729,402,274.09
  6. Step 6: Final answer
    x = 275,594,103,411.13

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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.