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Finding the Fourth Proportional to 426,492,012.70, 639,738,019.05 and 357,617,259.10

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Solution

The fourth proportional to 426,492,012.70, 639,738,019.05 and 357,617,259.10 is: 536,425,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,492,012.70 : 639,738,019.05 = 357,617,259.10 : x
  2. Step 2: Convert to fraction form
    426,492,012.70/639,738,019.05 = 357,617,259.10/x
  3. Step 3: Cross multiply
    426,492,012.70x = 639,738,019.05 × 357,617,259.10
  4. Step 4: Simplify right side
    426,492,012.70x = 228,781,356,914,724,576
  5. Step 5: Solve for x
    x = 228,781,356,914,724,576/426,492,012.70
  6. Step 6: Final answer
    x = 536,425,888.65

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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.