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Finding the Fourth Proportional to 5,152,032,151.70, 7,728,048,227.55 and 5,152,032,151.70

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Solution

The fourth proportional to 5,152,032,151.70, 7,728,048,227.55 and 5,152,032,151.70 is: 7,728,048,227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152,032,151.70 : 7,728,048,227.55 = 5,152,032,151.70 : x
  2. Step 2: Convert to fraction form
    5,152,032,151.70/7,728,048,227.55 = 5,152,032,151.70/x
  3. Step 3: Cross multiply
    5,152,032,151.70x = 7,728,048,227.55 × 5,152,032,151.70
  4. Step 4: Simplify right side
    5,152,032,151.70x = 39,815,152,938,225,795,072
  5. Step 5: Solve for x
    x = 39,815,152,938,225,795,072/5,152,032,151.70
  6. Step 6: Final answer
    x = 7,728,048,227.55

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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.