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Finding the Fourth Proportional to 453,869,704,671.05, 680,804,557,006.55 and 453,869,704,671.05

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Solution

The fourth proportional to 453,869,704,671.05, 680,804,557,006.55 and 453,869,704,671.05 is: 680,804,557,006.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,869,704,671.05 : 680,804,557,006.55 = 453,869,704,671.05 : x
  2. Step 2: Convert to fraction form
    453,869,704,671.05/680,804,557,006.55 = 453,869,704,671.05/x
  3. Step 3: Cross multiply
    453,869,704,671.05x = 680,804,557,006.55 × 453,869,704,671.05
  4. Step 4: Simplify right side
    453,869,704,671.05x = 308,996,563,227,267,890,675,712
  5. Step 5: Solve for x
    x = 308,996,563,227,267,890,675,712/453,869,704,671.05
  6. Step 6: Final answer
    x = 680,804,557,006.55

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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.