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Finding the Fourth Proportional to 108,603,869,715.10, 162,905,804,572.65 and 108,603,869,715.10

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Solution

The fourth proportional to 108,603,869,715.10, 162,905,804,572.65 and 108,603,869,715.10 is: 162,905,804,572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,603,869,715.10 : 162,905,804,572.65 = 108,603,869,715.10 : x
  2. Step 2: Convert to fraction form
    108,603,869,715.10/162,905,804,572.65 = 108,603,869,715.10/x
  3. Step 3: Cross multiply
    108,603,869,715.10x = 162,905,804,572.65 × 108,603,869,715.10
  4. Step 4: Simplify right side
    108,603,869,715.10x = 17,692,200,775,641,622,118,400
  5. Step 5: Solve for x
    x = 17,692,200,775,641,622,118,400/108,603,869,715.10
  6. Step 6: Final answer
    x = 162,905,804,572.65

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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.