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Finding the Fourth Proportional to 2,013,797,376,253, 3,020,696,064,379.40 and 2,013,797,376,253

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Solution

The fourth proportional to 2,013,797,376,253, 3,020,696,064,379.40 and 2,013,797,376,253 is: 3,020,696,064,379.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013,797,376,253 : 3,020,696,064,379.40 = 2,013,797,376,253 : x
  2. Step 2: Convert to fraction form
    2,013,797,376,253/3,020,696,064,379.40 = 2,013,797,376,253/x
  3. Step 3: Cross multiply
    2,013,797,376,253x = 3,020,696,064,379.40 × 2,013,797,376,253
  4. Step 4: Simplify right side
    2,013,797,376,253x = 6,083,069,808,904,998,391,644,160
  5. Step 5: Solve for x
    x = 6,083,069,808,904,998,391,644,160/2,013,797,376,253
  6. Step 6: Final answer
    x = 3,020,696,064,379.40

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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.