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Finding the Fourth Proportional to 702,293,434.20, 969,164,602.11 and 420,035,870.16

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Solution

The fourth proportional to 702,293,434.20, 969,164,602.11 and 420,035,870.16 is: 579,649,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,293,434.20 : 969,164,602.11 = 420,035,870.16 : x
  2. Step 2: Convert to fraction form
    702,293,434.20/969,164,602.11 = 420,035,870.16/x
  3. Step 3: Cross multiply
    702,293,434.20x = 969,164,602.11 × 420,035,870.16
  4. Step 4: Simplify right side
    702,293,434.20x = 407,083,896,975,544,064
  5. Step 5: Solve for x
    x = 407,083,896,975,544,064/702,293,434.20
  6. Step 6: Final answer
    x = 579,649,299.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.