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Finding the Fourth Proportional to 556,937,802.44, 768,580,284.98 and 306,042,259.20

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Solution

The fourth proportional to 556,937,802.44, 768,580,284.98 and 306,042,259.20 is: 422,341,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,937,802.44 : 768,580,284.98 = 306,042,259.20 : x
  2. Step 2: Convert to fraction form
    556,937,802.44/768,580,284.98 = 306,042,259.20/x
  3. Step 3: Cross multiply
    556,937,802.44x = 768,580,284.98 × 306,042,259.20
  4. Step 4: Simplify right side
    556,937,802.44x = 235,218,046,791,859,008
  5. Step 5: Solve for x
    x = 235,218,046,791,859,008/556,937,802.44
  6. Step 6: Final answer
    x = 422,341,679.38

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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.