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Finding the Fourth Proportional to 282,756,136,523.67, 424,134,204,785.51 and 282,756,136,523.67

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Solution

The fourth proportional to 282,756,136,523.67, 424,134,204,785.51 and 282,756,136,523.67 is: 424,134,204,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,756,136,523.67 : 424,134,204,785.51 = 282,756,136,523.67 : x
  2. Step 2: Convert to fraction form
    282,756,136,523.67/424,134,204,785.51 = 282,756,136,523.67/x
  3. Step 3: Cross multiply
    282,756,136,523.67x = 424,134,204,785.51 × 282,756,136,523.67
  4. Step 4: Simplify right side
    282,756,136,523.67x = 119,926,549,112,689,879,154,688
  5. Step 5: Solve for x
    x = 119,926,549,112,689,879,154,688/282,756,136,523.67
  6. Step 6: Final answer
    x = 424,134,204,785.51

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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.