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Finding the Fourth Proportional to 2,013,797,376,237, 3,020,696,064,355.40 and 2,013,797,376,237

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Solution

The fourth proportional to 2,013,797,376,237, 3,020,696,064,355.40 and 2,013,797,376,237 is: 3,020,696,064,355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013,797,376,237 : 3,020,696,064,355.40 = 2,013,797,376,237 : x
  2. Step 2: Convert to fraction form
    2,013,797,376,237/3,020,696,064,355.40 = 2,013,797,376,237/x
  3. Step 3: Cross multiply
    2,013,797,376,237x = 3,020,696,064,355.40 × 2,013,797,376,237
  4. Step 4: Simplify right side
    2,013,797,376,237x = 6,083,069,808,808,336,931,422,208
  5. Step 5: Solve for x
    x = 6,083,069,808,808,336,931,422,208/2,013,797,376,237
  6. Step 6: Final answer
    x = 3,020,696,064,355.40

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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.