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Finding the Fourth Proportional to 593,432,057.60, 889,965,894.72 and 410,375,880.80

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Solution

The fourth proportional to 593,432,057.60, 889,965,894.72 and 410,375,880.80 is: 615,437,830.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,432,057.60 : 889,965,894.72 = 410,375,880.80 : x
  2. Step 2: Convert to fraction form
    593,432,057.60/889,965,894.72 = 410,375,880.80/x
  3. Step 3: Cross multiply
    593,432,057.60x = 889,965,894.72 × 410,375,880.80
  4. Step 4: Simplify right side
    593,432,057.60x = 365,220,537,927,680,064
  5. Step 5: Solve for x
    x = 365,220,537,927,680,064/593,432,057.60
  6. Step 6: Final answer
    x = 615,437,830.25

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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.