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Finding the Fourth Proportional to 155,164,369,500.49, 232,746,554,250.73 and 155,164,369,500.49

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Solution

The fourth proportional to 155,164,369,500.49, 232,746,554,250.73 and 155,164,369,500.49 is: 232,746,554,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,164,369,500.49 : 232,746,554,250.73 = 155,164,369,500.49 : x
  2. Step 2: Convert to fraction form
    155,164,369,500.49/232,746,554,250.73 = 155,164,369,500.49/x
  3. Step 3: Cross multiply
    155,164,369,500.49x = 232,746,554,250.73 × 155,164,369,500.49
  4. Step 4: Simplify right side
    155,164,369,500.49x = 36,113,972,343,726,109,884,416
  5. Step 5: Solve for x
    x = 36,113,972,343,726,109,884,416/155,164,369,500.49
  6. Step 6: Final answer
    x = 232,746,554,250.73

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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.