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Finding the Fourth Proportional to 468,398,484.77, 646,683,720.71 and 301,424,850.27

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Solution

The fourth proportional to 468,398,484.77, 646,683,720.71 and 301,424,850.27 is: 416,155,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,398,484.77 : 646,683,720.71 = 301,424,850.27 : x
  2. Step 2: Convert to fraction form
    468,398,484.77/646,683,720.71 = 301,424,850.27/x
  3. Step 3: Cross multiply
    468,398,484.77x = 646,683,720.71 × 301,424,850.27
  4. Step 4: Simplify right side
    468,398,484.77x = 194,926,543,685,551,136
  5. Step 5: Solve for x
    x = 194,926,543,685,551,136/468,398,484.77
  6. Step 6: Final answer
    x = 416,155,367.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.