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Finding the Fourth Proportional to 255,674,970.90, 383,669,920.35 and 110,178,234.90

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Solution

The fourth proportional to 255,674,970.90, 383,669,920.35 and 110,178,234.90 is: 165,335,208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,674,970.90 : 383,669,920.35 = 110,178,234.90 : x
  2. Step 2: Convert to fraction form
    255,674,970.90/383,669,920.35 = 110,178,234.90/x
  3. Step 3: Cross multiply
    255,674,970.90x = 383,669,920.35 × 110,178,234.90
  4. Step 4: Simplify right side
    255,674,970.90x = 42,272,074,608,386,592
  5. Step 5: Solve for x
    x = 42,272,074,608,386,592/255,674,970.90
  6. Step 6: Final answer
    x = 165,335,208.45

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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.