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Finding the Fourth Proportional to 96,095,808,047.70, 144,143,712,071.55 and 96,095,808,047.70

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Solution

The fourth proportional to 96,095,808,047.70, 144,143,712,071.55 and 96,095,808,047.70 is: 144,143,712,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,095,808,047.70 : 144,143,712,071.55 = 96,095,808,047.70 : x
  2. Step 2: Convert to fraction form
    96,095,808,047.70/144,143,712,071.55 = 96,095,808,047.70/x
  3. Step 3: Cross multiply
    96,095,808,047.70x = 144,143,712,071.55 × 96,095,808,047.70
  4. Step 4: Simplify right side
    96,095,808,047.70x = 13,851,606,486,510,605,434,880
  5. Step 5: Solve for x
    x = 13,851,606,486,510,605,434,880/96,095,808,047.70
  6. Step 6: Final answer
    x = 144,143,712,071.55

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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.