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Finding the Fourth Proportional to 306,937,009.90, 460,405,514.85 and 306,937,009.90

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Solution

The fourth proportional to 306,937,009.90, 460,405,514.85 and 306,937,009.90 is: 460,405,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,937,009.90 : 460,405,514.85 = 306,937,009.90 : x
  2. Step 2: Convert to fraction form
    306,937,009.90/460,405,514.85 = 306,937,009.90/x
  3. Step 3: Cross multiply
    306,937,009.90x = 460,405,514.85 × 306,937,009.90
  4. Step 4: Simplify right side
    306,937,009.90x = 141,315,492,069,529,040
  5. Step 5: Solve for x
    x = 141,315,492,069,529,040/306,937,009.90
  6. Step 6: Final answer
    x = 460,405,514.85

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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.