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Finding the Fourth Proportional to 1,097,958,907,564, 1,646,938,361,346 and 1,097,958,907,564

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Solution

The fourth proportional to 1,097,958,907,564, 1,646,938,361,346 and 1,097,958,907,564 is: 1,646,938,361,346

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,958,907,564 : 1,646,938,361,346 = 1,097,958,907,564 : x
  2. Step 2: Convert to fraction form
    1,097,958,907,564/1,646,938,361,346 = 1,097,958,907,564/x
  3. Step 3: Cross multiply
    1,097,958,907,564x = 1,646,938,361,346 × 1,097,958,907,564
  4. Step 4: Simplify right side
    1,097,958,907,564x = 1,808,270,644,048,698,338,705,408
  5. Step 5: Solve for x
    x = 1,808,270,644,048,698,338,705,408/1,097,958,907,564
  6. Step 6: Final answer
    x = 1,646,938,361,346

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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.