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Finding the Fourth Proportional to 532,341,578.52, 797,798,602.40 and 414,308,865.87

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Solution

The fourth proportional to 532,341,578.52, 797,798,602.40 and 414,308,865.87 is: 620,907,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,341,578.52 : 797,798,602.40 = 414,308,865.87 : x
  2. Step 2: Convert to fraction form
    532,341,578.52/797,798,602.40 = 414,308,865.87/x
  3. Step 3: Cross multiply
    532,341,578.52x = 797,798,602.40 × 414,308,865.87
  4. Step 4: Simplify right side
    532,341,578.52x = 330,535,034,150,943,488
  5. Step 5: Solve for x
    x = 330,535,034,150,943,488/532,341,578.52
  6. Step 6: Final answer
    x = 620,907,792.08

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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.