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Finding the Fourth Proportional to 83,816,974,881.90, 125,725,462,322.85 and 83,816,974,881.90

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Solution

The fourth proportional to 83,816,974,881.90, 125,725,462,322.85 and 83,816,974,881.90 is: 125,725,462,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,816,974,881.90 : 125,725,462,322.85 = 83,816,974,881.90 : x
  2. Step 2: Convert to fraction form
    83,816,974,881.90/125,725,462,322.85 = 83,816,974,881.90/x
  3. Step 3: Cross multiply
    83,816,974,881.90x = 125,725,462,322.85 × 83,816,974,881.90
  4. Step 4: Simplify right side
    83,816,974,881.90x = 10,537,927,917,529,582,272,512
  5. Step 5: Solve for x
    x = 10,537,927,917,529,582,272,512/83,816,974,881.90
  6. Step 6: Final answer
    x = 125,725,462,322.85

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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.