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Finding the Fourth Proportional to 114,769,931.40, 161,018,026.20 and 114,769,931.40

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Solution

The fourth proportional to 114,769,931.40, 161,018,026.20 and 114,769,931.40 is: 161,018,026.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,769,931.40 : 161,018,026.20 = 114,769,931.40 : x
  2. Step 2: Convert to fraction form
    114,769,931.40/161,018,026.20 = 114,769,931.40/x
  3. Step 3: Cross multiply
    114,769,931.40x = 161,018,026.20 × 114,769,931.40
  4. Step 4: Simplify right side
    114,769,931.40x = 18,480,027,821,137,404
  5. Step 5: Solve for x
    x = 18,480,027,821,137,404/114,769,931.40
  6. Step 6: Final answer
    x = 161,018,026.20

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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.