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Finding the Fourth Proportional to 559,873,584.45, 782,009,032.95 and 559,873,584.45

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Solution

The fourth proportional to 559,873,584.45, 782,009,032.95 and 559,873,584.45 is: 782,009,032.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,873,584.45 : 782,009,032.95 = 559,873,584.45 : x
  2. Step 2: Convert to fraction form
    559,873,584.45/782,009,032.95 = 559,873,584.45/x
  3. Step 3: Cross multiply
    559,873,584.45x = 782,009,032.95 × 559,873,584.45
  4. Step 4: Simplify right side
    559,873,584.45x = 437,826,200,349,994,752
  5. Step 5: Solve for x
    x = 437,826,200,349,994,752/559,873,584.45
  6. Step 6: Final answer
    x = 782,009,032.95

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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.