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Finding the Fourth Proportional to 653,116,705.80, 978,331,365.90 and 330,182,536.20

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Solution

The fourth proportional to 653,116,705.80, 978,331,365.90 and 330,182,536.20 is: 494,594,501.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,116,705.80 : 978,331,365.90 = 330,182,536.20 : x
  2. Step 2: Convert to fraction form
    653,116,705.80/978,331,365.90 = 330,182,536.20/x
  3. Step 3: Cross multiply
    653,116,705.80x = 978,331,365.90 × 330,182,536.20
  4. Step 4: Simplify right side
    653,116,705.80x = 323,027,931,636,872,192
  5. Step 5: Solve for x
    x = 323,027,931,636,872,192/653,116,705.80
  6. Step 6: Final answer
    x = 494,594,501.67

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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.