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Finding the Fourth Proportional to 1,076,314,145.20, 1,507,860,170 and 1,076,314,145.20

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Solution

The fourth proportional to 1,076,314,145.20, 1,507,860,170 and 1,076,314,145.20 is: 1,507,860,170

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,314,145.20 : 1,507,860,170 = 1,076,314,145.20 : x
  2. Step 2: Convert to fraction form
    1,076,314,145.20/1,507,860,170 = 1,076,314,145.20/x
  3. Step 3: Cross multiply
    1,076,314,145.20x = 1,507,860,170 × 1,076,314,145.20
  4. Step 4: Simplify right side
    1,076,314,145.20x = 1,622,931,229,954,676,736
  5. Step 5: Solve for x
    x = 1,622,931,229,954,676,736/1,076,314,145.20
  6. Step 6: Final answer
    x = 1,507,860,170

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.