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Finding the Fourth Proportional to 652,033,387.80, 978,050,081.70 and 652,033,387.80

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Solution

The fourth proportional to 652,033,387.80, 978,050,081.70 and 652,033,387.80 is: 978,050,081.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,033,387.80 : 978,050,081.70 = 652,033,387.80 : x
  2. Step 2: Convert to fraction form
    652,033,387.80/978,050,081.70 = 652,033,387.80/x
  3. Step 3: Cross multiply
    652,033,387.80x = 978,050,081.70 × 652,033,387.80
  4. Step 4: Simplify right side
    652,033,387.80x = 637,721,308,208,917,760
  5. Step 5: Solve for x
    x = 637,721,308,208,917,760/652,033,387.80
  6. Step 6: Final answer
    x = 978,050,081.70

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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.