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Finding the Fourth Proportional to 2,675,276,424,004, 4,012,914,636,006 and 2,675,276,424,004

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Solution

The fourth proportional to 2,675,276,424,004, 4,012,914,636,006 and 2,675,276,424,004 is: 4,012,914,636,006.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675,276,424,004 : 4,012,914,636,006 = 2,675,276,424,004 : x
  2. Step 2: Convert to fraction form
    2,675,276,424,004/4,012,914,636,006 = 2,675,276,424,004/x
  3. Step 3: Cross multiply
    2,675,276,424,004x = 4,012,914,636,006 × 2,675,276,424,004
  4. Step 4: Simplify right side
    2,675,276,424,004x = 10,735,655,917,247,446,030,221,312
  5. Step 5: Solve for x
    x = 10,735,655,917,247,446,030,221,312/2,675,276,424,004
  6. Step 6: Final answer
    x = 4,012,914,636,006.00

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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.