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Finding the Fourth Proportional to 664,099,875.70, 996,754,307.64 and 353,468,280.94

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Solution

The fourth proportional to 664,099,875.70, 996,754,307.64 and 353,468,280.94 is: 530,524,164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,099,875.70 : 996,754,307.64 = 353,468,280.94 : x
  2. Step 2: Convert to fraction form
    664,099,875.70/996,754,307.64 = 353,468,280.94/x
  3. Step 3: Cross multiply
    664,099,875.70x = 996,754,307.64 × 353,468,280.94
  4. Step 4: Simplify right side
    664,099,875.70x = 352,321,031,641,050,688
  5. Step 5: Solve for x
    x = 352,321,031,641,050,688/664,099,875.70
  6. Step 6: Final answer
    x = 530,524,164.41

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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.