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Finding the Fourth Proportional to 6,284,156,964,759, 9,426,235,447,138.40 and 6,284,156,964,759

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Solution

The fourth proportional to 6,284,156,964,759, 9,426,235,447,138.40 and 6,284,156,964,759 is: 9,426,235,447,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284,156,964,759 : 9,426,235,447,138.40 = 6,284,156,964,759 : x
  2. Step 2: Convert to fraction form
    6,284,156,964,759/9,426,235,447,138.40 = 6,284,156,964,759/x
  3. Step 3: Cross multiply
    6,284,156,964,759x = 9,426,235,447,138.40 × 6,284,156,964,759
  4. Step 4: Simplify right side
    6,284,156,964,759x = 59,235,943,136,592,943,409,790,976
  5. Step 5: Solve for x
    x = 59,235,943,136,592,943,409,790,976/6,284,156,964,759
  6. Step 6: Final answer
    x = 9,426,235,447,138.40

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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.