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Finding the Fourth Proportional to 1,564,562,304,046.80, 2,346,843,456,070 and 1,564,562,304,046.80

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Solution

The fourth proportional to 1,564,562,304,046.80, 2,346,843,456,070 and 1,564,562,304,046.80 is: 2,346,843,456,070

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,562,304,046.80 : 2,346,843,456,070 = 1,564,562,304,046.80 : x
  2. Step 2: Convert to fraction form
    1,564,562,304,046.80/2,346,843,456,070 = 1,564,562,304,046.80/x
  3. Step 3: Cross multiply
    1,564,562,304,046.80x = 2,346,843,456,070 × 1,564,562,304,046.80
  4. Step 4: Simplify right side
    1,564,562,304,046.80x = 3,671,782,804,866,034,600,771,584
  5. Step 5: Solve for x
    x = 3,671,782,804,866,034,600,771,584/1,564,562,304,046.80
  6. Step 6: Final answer
    x = 2,346,843,456,070

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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.