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Finding the Fourth Proportional to 6,284,156,964,798.80, 9,426,235,447,197.80 and 6,284,156,964,798.80

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Solution

The fourth proportional to 6,284,156,964,798.80, 9,426,235,447,197.80 and 6,284,156,964,798.80 is: 9,426,235,447,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284,156,964,798.80 : 9,426,235,447,197.80 = 6,284,156,964,798.80 : x
  2. Step 2: Convert to fraction form
    6,284,156,964,798.80/9,426,235,447,197.80 = 6,284,156,964,798.80/x
  3. Step 3: Cross multiply
    6,284,156,964,798.80x = 9,426,235,447,197.80 × 6,284,156,964,798.80
  4. Step 4: Simplify right side
    6,284,156,964,798.80x = 59,235,943,137,341,393,000,726,528
  5. Step 5: Solve for x
    x = 59,235,943,137,341,393,000,726,528/6,284,156,964,798.80
  6. Step 6: Final answer
    x = 9,426,235,447,197.80

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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.