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Finding the Fourth Proportional to 1,457,476,301.84, 2,184,457,978.52 and 669,442,522.64

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Solution

The fourth proportional to 1,457,476,301.84, 2,184,457,978.52 and 669,442,522.64 is: 1,003,357,006.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457,476,301.84 : 2,184,457,978.52 = 669,442,522.64 : x
  2. Step 2: Convert to fraction form
    1,457,476,301.84/2,184,457,978.52 = 669,442,522.64/x
  3. Step 3: Cross multiply
    1,457,476,301.84x = 2,184,457,978.52 × 669,442,522.64
  4. Step 4: Simplify right side
    1,457,476,301.84x = 1,462,369,059,741,503,744
  5. Step 5: Solve for x
    x = 1,462,369,059,741,503,744/1,457,476,301.84
  6. Step 6: Final answer
    x = 1,003,357,006.83

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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.