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Finding the Fourth Proportional to 6,284,156,964,770, 9,426,235,447,154.90 and 6,284,156,964,770

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Solution

The fourth proportional to 6,284,156,964,770, 9,426,235,447,154.90 and 6,284,156,964,770 is: 9,426,235,447,154.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284,156,964,770 : 9,426,235,447,154.90 = 6,284,156,964,770 : x
  2. Step 2: Convert to fraction form
    6,284,156,964,770/9,426,235,447,154.90 = 6,284,156,964,770/x
  3. Step 3: Cross multiply
    6,284,156,964,770x = 9,426,235,447,154.90 × 6,284,156,964,770
  4. Step 4: Simplify right side
    6,284,156,964,770x = 59,235,943,136,800,321,610,711,040
  5. Step 5: Solve for x
    x = 59,235,943,136,800,321,610,711,040/6,284,156,964,770
  6. Step 6: Final answer
    x = 9,426,235,447,154.90

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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.