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Finding the Fourth Proportional to 296,870,328,047.70, 445,305,492,071.55 and 296,870,328,047.70

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Solution

The fourth proportional to 296,870,328,047.70, 445,305,492,071.55 and 296,870,328,047.70 is: 445,305,492,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,870,328,047.70 : 445,305,492,071.55 = 296,870,328,047.70 : x
  2. Step 2: Convert to fraction form
    296,870,328,047.70/445,305,492,071.55 = 296,870,328,047.70/x
  3. Step 3: Cross multiply
    296,870,328,047.70x = 445,305,492,071.55 × 296,870,328,047.70
  4. Step 4: Simplify right side
    296,870,328,047.70x = 132,197,987,512,723,519,307,776
  5. Step 5: Solve for x
    x = 132,197,987,512,723,519,307,776/296,870,328,047.70
  6. Step 6: Final answer
    x = 445,305,492,071.55

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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.