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Finding the Fourth Proportional to 525,642,694.80, 788,464,042.20 and 525,642,694.80

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Solution

The fourth proportional to 525,642,694.80, 788,464,042.20 and 525,642,694.80 is: 788,464,042.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,642,694.80 : 788,464,042.20 = 525,642,694.80 : x
  2. Step 2: Convert to fraction form
    525,642,694.80/788,464,042.20 = 525,642,694.80/x
  3. Step 3: Cross multiply
    525,642,694.80x = 788,464,042.20 × 525,642,694.80
  4. Step 4: Simplify right side
    525,642,694.80x = 414,450,363,894,908,928
  5. Step 5: Solve for x
    x = 414,450,363,894,908,928/525,642,694.80
  6. Step 6: Final answer
    x = 788,464,042.20

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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.