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Finding the Fourth Proportional to 1,097,958,907,576, 1,646,938,361,364 and 1,097,958,907,576

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Solution

The fourth proportional to 1,097,958,907,576, 1,646,938,361,364 and 1,097,958,907,576 is: 1,646,938,361,364

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,958,907,576 : 1,646,938,361,364 = 1,097,958,907,576 : x
  2. Step 2: Convert to fraction form
    1,097,958,907,576/1,646,938,361,364 = 1,097,958,907,576/x
  3. Step 3: Cross multiply
    1,097,958,907,576x = 1,646,938,361,364 × 1,097,958,907,576
  4. Step 4: Simplify right side
    1,097,958,907,576x = 1,808,270,644,088,224,922,730,496
  5. Step 5: Solve for x
    x = 1,808,270,644,088,224,922,730,496/1,097,958,907,576
  6. Step 6: Final answer
    x = 1,646,938,361,364

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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.