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Finding the Fourth Proportional to 68,113,021,514.80, 102,169,532,272.20 and 68,113,021,514.80

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Solution

The fourth proportional to 68,113,021,514.80, 102,169,532,272.20 and 68,113,021,514.80 is: 102,169,532,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,113,021,514.80 : 102,169,532,272.20 = 68,113,021,514.80 : x
  2. Step 2: Convert to fraction form
    68,113,021,514.80/102,169,532,272.20 = 68,113,021,514.80/x
  3. Step 3: Cross multiply
    68,113,021,514.80x = 102,169,532,272.20 × 68,113,021,514.80
  4. Step 4: Simplify right side
    68,113,021,514.80x = 6,959,075,549,813,411,938,304
  5. Step 5: Solve for x
    x = 6,959,075,549,813,411,938,304/68,113,021,514.80
  6. Step 6: Final answer
    x = 102,169,532,272.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.