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Finding the Fourth Proportional to 9,657,922,666.20, 14,486,883,999.30 and 9,657,922,666.20

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Solution

The fourth proportional to 9,657,922,666.20, 14,486,883,999.30 and 9,657,922,666.20 is: 14,486,883,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,922,666.20 : 14,486,883,999.30 = 9,657,922,666.20 : x
  2. Step 2: Convert to fraction form
    9,657,922,666.20/14,486,883,999.30 = 9,657,922,666.20/x
  3. Step 3: Cross multiply
    9,657,922,666.20x = 14,486,883,999.30 × 9,657,922,666.20
  4. Step 4: Simplify right side
    9,657,922,666.20x = 139,913,205,339,449,573,376
  5. Step 5: Solve for x
    x = 139,913,205,339,449,573,376/9,657,922,666.20
  6. Step 6: Final answer
    x = 14,486,883,999.30

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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.