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Finding the Fourth Proportional to 593,664,065.30, 829,430,998.30 and 593,664,065.30

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Solution

The fourth proportional to 593,664,065.30, 829,430,998.30 and 593,664,065.30 is: 829,430,998.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,664,065.30 : 829,430,998.30 = 593,664,065.30 : x
  2. Step 2: Convert to fraction form
    593,664,065.30/829,430,998.30 = 593,664,065.30/x
  3. Step 3: Cross multiply
    593,664,065.30x = 829,430,998.30 × 593,664,065.30
  4. Step 4: Simplify right side
    593,664,065.30x = 492,403,378,336,615,296
  5. Step 5: Solve for x
    x = 492,403,378,336,615,296/593,664,065.30
  6. Step 6: Final answer
    x = 829,430,998.30

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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.