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Finding the Fourth Proportional to 1,696,371,984,006.30, 2,544,557,976,009.50 and 1,696,371,984,006.30

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Solution

The fourth proportional to 1,696,371,984,006.30, 2,544,557,976,009.50 and 1,696,371,984,006.30 is: 2,544,557,976,009.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,371,984,006.30 : 2,544,557,976,009.50 = 1,696,371,984,006.30 : x
  2. Step 2: Convert to fraction form
    1,696,371,984,006.30/2,544,557,976,009.50 = 1,696,371,984,006.30/x
  3. Step 3: Cross multiply
    1,696,371,984,006.30x = 2,544,557,976,009.50 × 1,696,371,984,006.30
  4. Step 4: Simplify right side
    1,696,371,984,006.30x = 4,316,516,862,182,290,567,987,200
  5. Step 5: Solve for x
    x = 4,316,516,862,182,290,567,987,200/1,696,371,984,006.30
  6. Step 6: Final answer
    x = 2,544,557,976,009.50

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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.