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Finding the Fourth Proportional to 6,284,156,964,784, 9,426,235,447,175.90 and 6,284,156,964,784

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Solution

The fourth proportional to 6,284,156,964,784, 9,426,235,447,175.90 and 6,284,156,964,784 is: 9,426,235,447,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284,156,964,784 : 9,426,235,447,175.90 = 6,284,156,964,784 : x
  2. Step 2: Convert to fraction form
    6,284,156,964,784/9,426,235,447,175.90 = 6,284,156,964,784/x
  3. Step 3: Cross multiply
    6,284,156,964,784x = 9,426,235,447,175.90 × 6,284,156,964,784
  4. Step 4: Simplify right side
    6,284,156,964,784x = 59,235,943,137,064,255,940,984,832
  5. Step 5: Solve for x
    x = 59,235,943,137,064,255,940,984,832/6,284,156,964,784
  6. Step 6: Final answer
    x = 9,426,235,447,175.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.