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Finding the Fourth Proportional to 2,013,797,376,024, 3,020,696,064,035.70 and 2,013,797,376,024

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Solution

The fourth proportional to 2,013,797,376,024, 3,020,696,064,035.70 and 2,013,797,376,024 is: 3,020,696,064,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013,797,376,024 : 3,020,696,064,035.70 = 2,013,797,376,024 : x
  2. Step 2: Convert to fraction form
    2,013,797,376,024/3,020,696,064,035.70 = 2,013,797,376,024/x
  3. Step 3: Cross multiply
    2,013,797,376,024x = 3,020,696,064,035.70 × 2,013,797,376,024
  4. Step 4: Simplify right side
    2,013,797,376,024x = 6,083,069,807,521,118,052,941,824
  5. Step 5: Solve for x
    x = 6,083,069,807,521,118,052,941,824/2,013,797,376,024
  6. Step 6: Final answer
    x = 3,020,696,064,035.70

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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.