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Finding the Fourth Proportional to 595,308,934.40, 892,963,401.60 and 430,774,800.80

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Solution

The fourth proportional to 595,308,934.40, 892,963,401.60 and 430,774,800.80 is: 646,162,201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,308,934.40 : 892,963,401.60 = 430,774,800.80 : x
  2. Step 2: Convert to fraction form
    595,308,934.40/892,963,401.60 = 430,774,800.80/x
  3. Step 3: Cross multiply
    595,308,934.40x = 892,963,401.60 × 430,774,800.80
  4. Step 4: Simplify right side
    595,308,934.40x = 384,666,131,445,930,432
  5. Step 5: Solve for x
    x = 384,666,131,445,930,432/595,308,934.40
  6. Step 6: Final answer
    x = 646,162,201.20

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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.