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Finding the Fourth Proportional to 65,195,280,311.10, 97,792,920,466.65 and 65,195,280,311.10

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Solution

The fourth proportional to 65,195,280,311.10, 97,792,920,466.65 and 65,195,280,311.10 is: 97,792,920,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,195,280,311.10 : 97,792,920,466.65 = 65,195,280,311.10 : x
  2. Step 2: Convert to fraction form
    65,195,280,311.10/97,792,920,466.65 = 65,195,280,311.10/x
  3. Step 3: Cross multiply
    65,195,280,311.10x = 97,792,920,466.65 × 65,195,280,311.10
  4. Step 4: Simplify right side
    65,195,280,311.10x = 6,375,636,862,264,354,537,472
  5. Step 5: Solve for x
    x = 6,375,636,862,264,354,537,472/65,195,280,311.10
  6. Step 6: Final answer
    x = 97,792,920,466.65

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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.