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Finding the Fourth Proportional to 570,175,535.86, 786,842,246.20 and 309,415,151.86

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Solution

The fourth proportional to 570,175,535.86, 786,842,246.20 and 309,415,151.86 is: 426,992,913.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,175,535.86 : 786,842,246.20 = 309,415,151.86 : x
  2. Step 2: Convert to fraction form
    570,175,535.86/786,842,246.20 = 309,415,151.86/x
  3. Step 3: Cross multiply
    570,175,535.86x = 786,842,246.20 × 309,415,151.86
  4. Step 4: Simplify right side
    570,175,535.86x = 243,460,913,093,902,336
  5. Step 5: Solve for x
    x = 243,460,913,093,902,336/570,175,535.86
  6. Step 6: Final answer
    x = 426,992,913.21

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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.