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Finding the Fourth Proportional to 1,066,266,130.40, 1,596,529,414.20 and 1,066,266,130.40

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Solution

The fourth proportional to 1,066,266,130.40, 1,596,529,414.20 and 1,066,266,130.40 is: 1,596,529,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066,266,130.40 : 1,596,529,414.20 = 1,066,266,130.40 : x
  2. Step 2: Convert to fraction form
    1,066,266,130.40/1,596,529,414.20 = 1,066,266,130.40/x
  3. Step 3: Cross multiply
    1,066,266,130.40x = 1,596,529,414.20 × 1,066,266,130.40
  4. Step 4: Simplify right side
    1,066,266,130.40x = 1,702,325,240,548,812,800
  5. Step 5: Solve for x
    x = 1,702,325,240,548,812,800/1,066,266,130.40
  6. Step 6: Final answer
    x = 1,596,529,414.20

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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.