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Finding the Fourth Proportional to 570,175,534.98, 786,842,244.99 and 309,415,150.98

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Solution

The fourth proportional to 570,175,534.98, 786,842,244.99 and 309,415,150.98 is: 426,992,912.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,175,534.98 : 786,842,244.99 = 309,415,150.98 : x
  2. Step 2: Convert to fraction form
    570,175,534.98/786,842,244.99 = 309,415,150.98/x
  3. Step 3: Cross multiply
    570,175,534.98x = 786,842,244.99 × 309,415,150.98
  4. Step 4: Simplify right side
    570,175,534.98x = 243,460,912,031,023,008
  5. Step 5: Solve for x
    x = 243,460,912,031,023,008/570,175,534.98
  6. Step 6: Final answer
    x = 426,992,912.00

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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.