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Finding the Fourth Proportional to 289,614,458.70, 434,421,688.05 and 289,614,458.70

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Solution

The fourth proportional to 289,614,458.70, 434,421,688.05 and 289,614,458.70 is: 434,421,688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,614,458.70 : 434,421,688.05 = 289,614,458.70 : x
  2. Step 2: Convert to fraction form
    289,614,458.70/434,421,688.05 = 289,614,458.70/x
  3. Step 3: Cross multiply
    289,614,458.70x = 434,421,688.05 × 289,614,458.70
  4. Step 4: Simplify right side
    289,614,458.70x = 125,814,802,032,141,008
  5. Step 5: Solve for x
    x = 125,814,802,032,141,008/289,614,458.70
  6. Step 6: Final answer
    x = 434,421,688.05

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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.