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Finding the Fourth Proportional to 318,589,038,000.40, 477,883,557,000.65 and 318,589,038,000.40

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Solution

The fourth proportional to 318,589,038,000.40, 477,883,557,000.65 and 318,589,038,000.40 is: 477,883,557,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,589,038,000.40 : 477,883,557,000.65 = 318,589,038,000.40 : x
  2. Step 2: Convert to fraction form
    318,589,038,000.40/477,883,557,000.65 = 318,589,038,000.40/x
  3. Step 3: Cross multiply
    318,589,038,000.40x = 477,883,557,000.65 × 318,589,038,000.40
  4. Step 4: Simplify right side
    318,589,038,000.40x = 152,248,462,701,046,437,773,312
  5. Step 5: Solve for x
    x = 152,248,462,701,046,437,773,312/318,589,038,000.40
  6. Step 6: Final answer
    x = 477,883,557,000.65

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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.