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Finding the Fourth Proportional to 501,253,137,065.70, 751,879,705,598.55 and 501,253,137,065.70

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Solution

The fourth proportional to 501,253,137,065.70, 751,879,705,598.55 and 501,253,137,065.70 is: 751,879,705,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,253,137,065.70 : 751,879,705,598.55 = 501,253,137,065.70 : x
  2. Step 2: Convert to fraction form
    501,253,137,065.70/751,879,705,598.55 = 501,253,137,065.70/x
  3. Step 3: Cross multiply
    501,253,137,065.70x = 751,879,705,598.55 × 501,253,137,065.70
  4. Step 4: Simplify right side
    501,253,137,065.70x = 376,882,061,127,308,185,436,160
  5. Step 5: Solve for x
    x = 376,882,061,127,308,185,436,160/501,253,137,065.70
  6. Step 6: Final answer
    x = 751,879,705,598.55

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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.