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Finding the Fourth Proportional to 340,566,200,999.78, 510,849,301,499.65 and 340,566,200,999.78

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Solution

The fourth proportional to 340,566,200,999.78, 510,849,301,499.65 and 340,566,200,999.78 is: 510,849,301,499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,566,200,999.78 : 510,849,301,499.65 = 340,566,200,999.78 : x
  2. Step 2: Convert to fraction form
    340,566,200,999.78/510,849,301,499.65 = 340,566,200,999.78/x
  3. Step 3: Cross multiply
    340,566,200,999.78x = 510,849,301,499.65 × 340,566,200,999.78
  4. Step 4: Simplify right side
    340,566,200,999.78x = 173,978,005,895,127,052,058,624
  5. Step 5: Solve for x
    x = 173,978,005,895,127,052,058,624/340,566,200,999.78
  6. Step 6: Final answer
    x = 510,849,301,499.65

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1.5x scale

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.