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Finding the Fourth Proportional to 318,589,038,009.40, 477,883,557,014.16 and 318,589,038,009.40

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Solution

The fourth proportional to 318,589,038,009.40, 477,883,557,014.16 and 318,589,038,009.40 is: 477,883,557,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,589,038,009.40 : 477,883,557,014.16 = 318,589,038,009.40 : x
  2. Step 2: Convert to fraction form
    318,589,038,009.40/477,883,557,014.16 = 318,589,038,009.40/x
  3. Step 3: Cross multiply
    318,589,038,009.40x = 477,883,557,014.16 × 318,589,038,009.40
  4. Step 4: Simplify right side
    318,589,038,009.40x = 152,248,462,709,651,505,414,144
  5. Step 5: Solve for x
    x = 152,248,462,709,651,505,414,144/318,589,038,009.40
  6. Step 6: Final answer
    x = 477,883,557,014.16

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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.