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Finding the Fourth Proportional to 360,708,254.69, 497,775,312.70 and 195,692,281.25

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Solution

The fourth proportional to 360,708,254.69, 497,775,312.70 and 195,692,281.25 is: 270,054,220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,708,254.69 : 497,775,312.70 = 195,692,281.25 : x
  2. Step 2: Convert to fraction form
    360,708,254.69/497,775,312.70 = 195,692,281.25/x
  3. Step 3: Cross multiply
    360,708,254.69x = 497,775,312.70 × 195,692,281.25
  4. Step 4: Simplify right side
    360,708,254.69x = 97,410,786,489,216,992
  5. Step 5: Solve for x
    x = 97,410,786,489,216,992/360,708,254.69
  6. Step 6: Final answer
    x = 270,054,220.34

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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.