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Finding the Fourth Proportional to 560,139,606.40, 840,209,409.60 and 301,859,280.40

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Solution

The fourth proportional to 560,139,606.40, 840,209,409.60 and 301,859,280.40 is: 452,788,920.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,139,606.40 : 840,209,409.60 = 301,859,280.40 : x
  2. Step 2: Convert to fraction form
    560,139,606.40/840,209,409.60 = 301,859,280.40/x
  3. Step 3: Cross multiply
    560,139,606.40x = 840,209,409.60 × 301,859,280.40
  4. Step 4: Simplify right side
    560,139,606.40x = 253,625,007,767,164,832
  5. Step 5: Solve for x
    x = 253,625,007,767,164,832/560,139,606.40
  6. Step 6: Final answer
    x = 452,788,920.60

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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.