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Finding the Fourth Proportional to 282,756,136,518.67, 424,134,204,778 and 282,756,136,518.67

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Solution

The fourth proportional to 282,756,136,518.67, 424,134,204,778 and 282,756,136,518.67 is: 424,134,204,778

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,756,136,518.67 : 424,134,204,778 = 282,756,136,518.67 : x
  2. Step 2: Convert to fraction form
    282,756,136,518.67/424,134,204,778 = 282,756,136,518.67/x
  3. Step 3: Cross multiply
    282,756,136,518.67x = 424,134,204,778 × 282,756,136,518.67
  4. Step 4: Simplify right side
    282,756,136,518.67x = 119,926,549,108,445,696,491,520
  5. Step 5: Solve for x
    x = 119,926,549,108,445,696,491,520/282,756,136,518.67
  6. Step 6: Final answer
    x = 424,134,204,778

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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.