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Finding the Fourth Proportional to 578,569,746.28, 798,432,109.86 and 314,256,901

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Solution

The fourth proportional to 578,569,746.28, 798,432,109.86 and 314,256,901 is: 433,677,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,569,746.28 : 798,432,109.86 = 314,256,901 : x
  2. Step 2: Convert to fraction form
    578,569,746.28/798,432,109.86 = 314,256,901/x
  3. Step 3: Cross multiply
    578,569,746.28x = 798,432,109.86 × 314,256,901
  4. Step 4: Simplify right side
    578,569,746.28x = 250,912,800,503,495,136
  5. Step 5: Solve for x
    x = 250,912,800,503,495,136/578,569,746.28
  6. Step 6: Final answer
    x = 433,677,706.30

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Why These Related Problems?

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