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Finding the Fourth Proportional to 1,097,958,907,587, 1,646,938,361,380.50 and 1,097,958,907,587

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Solution

The fourth proportional to 1,097,958,907,587, 1,646,938,361,380.50 and 1,097,958,907,587 is: 1,646,938,361,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,958,907,587 : 1,646,938,361,380.50 = 1,097,958,907,587 : x
  2. Step 2: Convert to fraction form
    1,097,958,907,587/1,646,938,361,380.50 = 1,097,958,907,587/x
  3. Step 3: Cross multiply
    1,097,958,907,587x = 1,646,938,361,380.50 × 1,097,958,907,587
  4. Step 4: Simplify right side
    1,097,958,907,587x = 1,808,270,644,124,457,535,275,008
  5. Step 5: Solve for x
    x = 1,808,270,644,124,457,535,275,008/1,097,958,907,587
  6. Step 6: Final answer
    x = 1,646,938,361,380.50

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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.