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Finding the Fourth Proportional to 340,784,461.80, 511,176,692.70 and 340,784,461.80

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Solution

The fourth proportional to 340,784,461.80, 511,176,692.70 and 340,784,461.80 is: 511,176,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,784,461.80 : 511,176,692.70 = 340,784,461.80 : x
  2. Step 2: Convert to fraction form
    340,784,461.80/511,176,692.70 = 340,784,461.80/x
  3. Step 3: Cross multiply
    340,784,461.80x = 511,176,692.70 × 340,784,461.80
  4. Step 4: Simplify right side
    340,784,461.80x = 174,201,074,106,473,504
  5. Step 5: Solve for x
    x = 174,201,074,106,473,504/340,784,461.80
  6. Step 6: Final answer
    x = 511,176,692.70

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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.