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Finding the Fourth Proportional to 2,013,797,376,243, 3,020,696,064,364.40 and 2,013,797,376,243

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Solution

The fourth proportional to 2,013,797,376,243, 3,020,696,064,364.40 and 2,013,797,376,243 is: 3,020,696,064,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013,797,376,243 : 3,020,696,064,364.40 = 2,013,797,376,243 : x
  2. Step 2: Convert to fraction form
    2,013,797,376,243/3,020,696,064,364.40 = 2,013,797,376,243/x
  3. Step 3: Cross multiply
    2,013,797,376,243x = 3,020,696,064,364.40 × 2,013,797,376,243
  4. Step 4: Simplify right side
    2,013,797,376,243x = 6,083,069,808,844,584,307,916,800
  5. Step 5: Solve for x
    x = 6,083,069,808,844,584,307,916,800/2,013,797,376,243
  6. Step 6: Final answer
    x = 3,020,696,064,364.40

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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.