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Finding the Fourth Proportional to 593,664,066.30, 829,430,999.70 and 593,664,066.30

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Solution

The fourth proportional to 593,664,066.30, 829,430,999.70 and 593,664,066.30 is: 829,430,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,664,066.30 : 829,430,999.70 = 593,664,066.30 : x
  2. Step 2: Convert to fraction form
    593,664,066.30/829,430,999.70 = 593,664,066.30/x
  3. Step 3: Cross multiply
    593,664,066.30x = 829,430,999.70 × 593,664,066.30
  4. Step 4: Simplify right side
    593,664,066.30x = 492,403,379,997,176,064
  5. Step 5: Solve for x
    x = 492,403,379,997,176,064/593,664,066.30
  6. Step 6: Final answer
    x = 829,430,999.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.