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Finding the Fourth Proportional to 850,375,502.56, 1,173,518,184 and 459,234,926.56

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Solution

The fourth proportional to 850,375,502.56, 1,173,518,184 and 459,234,926.56 is: 633,744,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,375,502.56 : 1,173,518,184 = 459,234,926.56 : x
  2. Step 2: Convert to fraction form
    850,375,502.56/1,173,518,184 = 459,234,926.56/x
  3. Step 3: Cross multiply
    850,375,502.56x = 1,173,518,184 × 459,234,926.56
  4. Step 4: Simplify right side
    850,375,502.56x = 538,920,537,046,064,576
  5. Step 5: Solve for x
    x = 538,920,537,046,064,576/850,375,502.56
  6. Step 6: Final answer
    x = 633,744,193.50

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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.