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Finding the Fourth Proportional to 602,808,308.66, 902,894,157.01 and 427,399,646.22

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Solution

The fourth proportional to 602,808,308.66, 902,894,157.01 and 427,399,646.22 is: 640,164,771.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,808,308.66 : 902,894,157.01 = 427,399,646.22 : x
  2. Step 2: Convert to fraction form
    602,808,308.66/902,894,157.01 = 427,399,646.22/x
  3. Step 3: Cross multiply
    602,808,308.66x = 902,894,157.01 × 427,399,646.22
  4. Step 4: Simplify right side
    602,808,308.66x = 385,896,643,280,179,136
  5. Step 5: Solve for x
    x = 385,896,643,280,179,136/602,808,308.66
  6. Step 6: Final answer
    x = 640,164,771.68

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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.