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Finding the Fourth Proportional to 264,415,075.20, 370,563,742.80 and 264,415,075.20

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Solution

The fourth proportional to 264,415,075.20, 370,563,742.80 and 264,415,075.20 is: 370,563,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,415,075.20 : 370,563,742.80 = 264,415,075.20 : x
  2. Step 2: Convert to fraction form
    264,415,075.20/370,563,742.80 = 264,415,075.20/x
  3. Step 3: Cross multiply
    264,415,075.20x = 370,563,742.80 × 264,415,075.20
  4. Step 4: Simplify right side
    264,415,075.20x = 97,982,639,918,855,456
  5. Step 5: Solve for x
    x = 97,982,639,918,855,456/264,415,075.20
  6. Step 6: Final answer
    x = 370,563,742.80

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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.