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Finding the Fourth Proportional to 189,292,212.90, 283,938,319.35 and 156,980,600.10

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Solution

The fourth proportional to 189,292,212.90, 283,938,319.35 and 156,980,600.10 is: 235,470,900.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,292,212.90 : 283,938,319.35 = 156,980,600.10 : x
  2. Step 2: Convert to fraction form
    189,292,212.90/283,938,319.35 = 156,980,600.10/x
  3. Step 3: Cross multiply
    189,292,212.90x = 283,938,319.35 × 156,980,600.10
  4. Step 4: Simplify right side
    189,292,212.90x = 44,572,807,762,948,440
  5. Step 5: Solve for x
    x = 44,572,807,762,948,440/189,292,212.90
  6. Step 6: Final answer
    x = 235,470,900.15

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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.