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Finding the Fourth Proportional to 590,314,916.80, 886,007,752.80 and 299,384,430.40

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Solution

The fourth proportional to 590,314,916.80, 886,007,752.80 and 299,384,430.40 is: 449,348,167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,314,916.80 : 886,007,752.80 = 299,384,430.40 : x
  2. Step 2: Convert to fraction form
    590,314,916.80/886,007,752.80 = 299,384,430.40/x
  3. Step 3: Cross multiply
    590,314,916.80x = 886,007,752.80 × 299,384,430.40
  4. Step 4: Simplify right side
    590,314,916.80x = 265,256,926,402,011,968
  5. Step 5: Solve for x
    x = 265,256,926,402,011,968/590,314,916.80
  6. Step 6: Final answer
    x = 449,348,167.99

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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.