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Finding the Fourth Proportional to 340,405,038.40, 509,851,730.40 and 279,938,862.40

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Solution

The fourth proportional to 340,405,038.40, 509,851,730.40 and 279,938,862.40 is: 419,286,724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,405,038.40 : 509,851,730.40 = 279,938,862.40 : x
  2. Step 2: Convert to fraction form
    340,405,038.40/509,851,730.40 = 279,938,862.40/x
  3. Step 3: Cross multiply
    340,405,038.40x = 509,851,730.40 × 279,938,862.40
  4. Step 4: Simplify right side
    340,405,038.40x = 142,727,313,400,847,472
  5. Step 5: Solve for x
    x = 142,727,313,400,847,472/340,405,038.40
  6. Step 6: Final answer
    x = 419,286,724.05

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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.