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Finding the Fourth Proportional to 578,937,813.30, 812,662,847.10 and 578,937,813.30

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Solution

The fourth proportional to 578,937,813.30, 812,662,847.10 and 578,937,813.30 is: 812,662,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,937,813.30 : 812,662,847.10 = 578,937,813.30 : x
  2. Step 2: Convert to fraction form
    578,937,813.30/812,662,847.10 = 578,937,813.30/x
  3. Step 3: Cross multiply
    578,937,813.30x = 812,662,847.10 × 578,937,813.30
  4. Step 4: Simplify right side
    578,937,813.30x = 470,481,251,650,226,240
  5. Step 5: Solve for x
    x = 470,481,251,650,226,240/578,937,813.30
  6. Step 6: Final answer
    x = 812,662,847.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.