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Finding the Fourth Proportional to 538,178,402,801.70, 807,267,604,202.55 and 538,178,402,801.70

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Solution

The fourth proportional to 538,178,402,801.70, 807,267,604,202.55 and 538,178,402,801.70 is: 807,267,604,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,178,402,801.70 : 807,267,604,202.55 = 538,178,402,801.70 : x
  2. Step 2: Convert to fraction form
    538,178,402,801.70/807,267,604,202.55 = 538,178,402,801.70/x
  3. Step 3: Cross multiply
    538,178,402,801.70x = 807,267,604,202.55 × 538,178,402,801.70
  4. Step 4: Simplify right side
    538,178,402,801.70x = 434,453,989,863,283,291,586,560
  5. Step 5: Solve for x
    x = 434,453,989,863,283,291,586,560/538,178,402,801.70
  6. Step 6: Final answer
    x = 807,267,604,202.55

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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.