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Finding the Fourth Proportional to 155,164,369,516.05, 232,746,554,274.07 and 155,164,369,516.05

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Solution

The fourth proportional to 155,164,369,516.05, 232,746,554,274.07 and 155,164,369,516.05 is: 232,746,554,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,164,369,516.05 : 232,746,554,274.07 = 155,164,369,516.05 : x
  2. Step 2: Convert to fraction form
    155,164,369,516.05/232,746,554,274.07 = 155,164,369,516.05/x
  3. Step 3: Cross multiply
    155,164,369,516.05x = 232,746,554,274.07 × 155,164,369,516.05
  4. Step 4: Simplify right side
    155,164,369,516.05x = 36,113,972,350,969,182,158,848
  5. Step 5: Solve for x
    x = 36,113,972,350,969,182,158,848/155,164,369,516.05
  6. Step 6: Final answer
    x = 232,746,554,274.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.