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Finding the Fourth Proportional to 1,097,958,907,594, 1,646,938,361,391 and 1,097,958,907,594

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Solution

The fourth proportional to 1,097,958,907,594, 1,646,938,361,391 and 1,097,958,907,594 is: 1,646,938,361,391

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,958,907,594 : 1,646,938,361,391 = 1,097,958,907,594 : x
  2. Step 2: Convert to fraction form
    1,097,958,907,594/1,646,938,361,391 = 1,097,958,907,594/x
  3. Step 3: Cross multiply
    1,097,958,907,594x = 1,646,938,361,391 × 1,097,958,907,594
  4. Step 4: Simplify right side
    1,097,958,907,594x = 1,808,270,644,147,514,798,768,128
  5. Step 5: Solve for x
    x = 1,808,270,644,147,514,798,768,128/1,097,958,907,594
  6. Step 6: Final answer
    x = 1,646,938,361,391

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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.