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Finding the Fourth Proportional to 409,706,899.93, 614,762,136.02 and 191,325,503.45

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Solution

The fourth proportional to 409,706,899.93, 614,762,136.02 and 191,325,503.45 is: 287,082,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,706,899.93 : 614,762,136.02 = 191,325,503.45 : x
  2. Step 2: Convert to fraction form
    409,706,899.93/614,762,136.02 = 191,325,503.45/x
  3. Step 3: Cross multiply
    409,706,899.93x = 614,762,136.02 × 191,325,503.45
  4. Step 4: Simplify right side
    409,706,899.93x = 117,619,675,176,963,840
  5. Step 5: Solve for x
    x = 117,619,675,176,963,840/409,706,899.93
  6. Step 6: Final answer
    x = 287,082,485.55

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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.