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Finding the Fourth Proportional to 978,148,529.70, 1,467,222,794.55 and 651,631,179.30

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Solution

The fourth proportional to 978,148,529.70, 1,467,222,794.55 and 651,631,179.30 is: 977,446,768.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,148,529.70 : 1,467,222,794.55 = 651,631,179.30 : x
  2. Step 2: Convert to fraction form
    978,148,529.70/1,467,222,794.55 = 651,631,179.30/x
  3. Step 3: Cross multiply
    978,148,529.70x = 1,467,222,794.55 × 651,631,179.30
  4. Step 4: Simplify right side
    978,148,529.70x = 956,088,119,908,457,984
  5. Step 5: Solve for x
    x = 956,088,119,908,457,984/978,148,529.70
  6. Step 6: Final answer
    x = 977,446,768.95

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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.