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Finding the Fourth Proportional to 6,019,366,691,566.90, 9,029,050,037,350.20 and 6,019,366,691,566.90

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Solution

The fourth proportional to 6,019,366,691,566.90, 9,029,050,037,350.20 and 6,019,366,691,566.90 is: 9,029,050,037,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,019,366,691,566.90 : 9,029,050,037,350.20 = 6,019,366,691,566.90 : x
  2. Step 2: Convert to fraction form
    6,019,366,691,566.90/9,029,050,037,350.20 = 6,019,366,691,566.90/x
  3. Step 3: Cross multiply
    6,019,366,691,566.90x = 9,029,050,037,350.20 × 6,019,366,691,566.90
  4. Step 4: Simplify right side
    6,019,366,691,566.90x = 54,349,163,051,316,664,208,457,728
  5. Step 5: Solve for x
    x = 54,349,163,051,316,664,208,457,728/6,019,366,691,566.90
  6. Step 6: Final answer
    x = 9,029,050,037,350.20

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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.