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Finding the Fourth Proportional to 1,564,562,304,604.50, 2,346,843,456,906.80 and 1,564,562,304,604.50

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Solution

The fourth proportional to 1,564,562,304,604.50, 2,346,843,456,906.80 and 1,564,562,304,604.50 is: 2,346,843,456,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,562,304,604.50 : 2,346,843,456,906.80 = 1,564,562,304,604.50 : x
  2. Step 2: Convert to fraction form
    1,564,562,304,604.50/2,346,843,456,906.80 = 1,564,562,304,604.50/x
  3. Step 3: Cross multiply
    1,564,562,304,604.50x = 2,346,843,456,906.80 × 1,564,562,304,604.50
  4. Step 4: Simplify right side
    1,564,562,304,604.50x = 3,671,782,807,484,094,193,074,176
  5. Step 5: Solve for x
    x = 3,671,782,807,484,094,193,074,176/1,564,562,304,604.50
  6. Step 6: Final answer
    x = 2,346,843,456,906.80

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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.