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Finding the Fourth Proportional to 96,311,106,056.70, 144,466,659,085.05 and 96,311,106,056.70

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Solution

The fourth proportional to 96,311,106,056.70, 144,466,659,085.05 and 96,311,106,056.70 is: 144,466,659,085.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,311,106,056.70 : 144,466,659,085.05 = 96,311,106,056.70 : x
  2. Step 2: Convert to fraction form
    96,311,106,056.70/144,466,659,085.05 = 96,311,106,056.70/x
  3. Step 3: Cross multiply
    96,311,106,056.70x = 144,466,659,085.05 × 96,311,106,056.70
  4. Step 4: Simplify right side
    96,311,106,056.70x = 13,913,743,724,797,371,613,184
  5. Step 5: Solve for x
    x = 13,913,743,724,797,371,613,184/96,311,106,056.70
  6. Step 6: Final answer
    x = 144,466,659,085.05

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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.