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Finding the Fourth Proportional to 155,164,369,908.30, 232,746,554,862.45 and 155,164,369,908.30

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Solution

The fourth proportional to 155,164,369,908.30, 232,746,554,862.45 and 155,164,369,908.30 is: 232,746,554,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,164,369,908.30 : 232,746,554,862.45 = 155,164,369,908.30 : x
  2. Step 2: Convert to fraction form
    155,164,369,908.30/232,746,554,862.45 = 155,164,369,908.30/x
  3. Step 3: Cross multiply
    155,164,369,908.30x = 232,746,554,862.45 × 155,164,369,908.30
  4. Step 4: Simplify right side
    155,164,369,908.30x = 36,113,972,533,559,629,447,168
  5. Step 5: Solve for x
    x = 36,113,972,533,559,629,447,168/155,164,369,908.30
  6. Step 6: Final answer
    x = 232,746,554,862.45

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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.