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Finding the Fourth Proportional to 523,003,838.72, 721,778,075.52 and 288,054,452.48

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Solution

The fourth proportional to 523,003,838.72, 721,778,075.52 and 288,054,452.48 is: 397,533,197.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,003,838.72 : 721,778,075.52 = 288,054,452.48 : x
  2. Step 2: Convert to fraction form
    523,003,838.72/721,778,075.52 = 288,054,452.48/x
  3. Step 3: Cross multiply
    523,003,838.72x = 721,778,075.52 × 288,054,452.48
  4. Step 4: Simplify right side
    523,003,838.72x = 207,911,388,355,981,696
  5. Step 5: Solve for x
    x = 207,911,388,355,981,696/523,003,838.72
  6. Step 6: Final answer
    x = 397,533,197.59

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