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Finding the Fourth Proportional to 768,048,614, 1,059,569,326.77 and 450,346,696.10

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Solution

The fourth proportional to 768,048,614, 1,059,569,326.77 and 450,346,696.10 is: 621,280,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,048,614 : 1,059,569,326.77 = 450,346,696.10 : x
  2. Step 2: Convert to fraction form
    768,048,614/1,059,569,326.77 = 450,346,696.10/x
  3. Step 3: Cross multiply
    768,048,614x = 1,059,569,326.77 × 450,346,696.10
  4. Step 4: Simplify right side
    768,048,614x = 477,173,545,599,770,816
  5. Step 5: Solve for x
    x = 477,173,545,599,770,816/768,048,614
  6. Step 6: Final answer
    x = 621,280,394.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.