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Finding the Fourth Proportional to 521,522,888,940.70, 782,284,333,411.34 and 521,522,888,940.70

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Solution

The fourth proportional to 521,522,888,940.70, 782,284,333,411.34 and 521,522,888,940.70 is: 782,284,333,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,522,888,940.70 : 782,284,333,411.34 = 521,522,888,940.70 : x
  2. Step 2: Convert to fraction form
    521,522,888,940.70/782,284,333,411.34 = 521,522,888,940.70/x
  3. Step 3: Cross multiply
    521,522,888,940.70x = 782,284,333,411.34 × 521,522,888,940.70
  4. Step 4: Simplify right side
    521,522,888,940.70x = 407,979,185,533,731,773,349,888
  5. Step 5: Solve for x
    x = 407,979,185,533,731,773,349,888/521,522,888,940.70
  6. Step 6: Final answer
    x = 782,284,333,411.34

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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.