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Finding the Fourth Proportional to 416,709,682.86, 575,069,921.32 and 228,545,468.46

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Solution

The fourth proportional to 416,709,682.86, 575,069,921.32 and 228,545,468.46 is: 315,398,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,709,682.86 : 575,069,921.32 = 228,545,468.46 : x
  2. Step 2: Convert to fraction form
    416,709,682.86/575,069,921.32 = 228,545,468.46/x
  3. Step 3: Cross multiply
    416,709,682.86x = 575,069,921.32 × 228,545,468.46
  4. Step 4: Simplify right side
    416,709,682.86x = 131,429,624,565,334,752
  5. Step 5: Solve for x
    x = 131,429,624,565,334,752/416,709,682.86
  6. Step 6: Final answer
    x = 315,398,537.57

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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.