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Finding the Fourth Proportional to 505,440,999.90, 709,658,133.30 and 505,440,999.90

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Solution

The fourth proportional to 505,440,999.90, 709,658,133.30 and 505,440,999.90 is: 709,658,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,440,999.90 : 709,658,133.30 = 505,440,999.90 : x
  2. Step 2: Convert to fraction form
    505,440,999.90/709,658,133.30 = 505,440,999.90/x
  3. Step 3: Cross multiply
    505,440,999.90x = 709,658,133.30 × 505,440,999.90
  4. Step 4: Simplify right side
    505,440,999.90x = 358,690,316,482,319,424
  5. Step 5: Solve for x
    x = 358,690,316,482,319,424/505,440,999.90
  6. Step 6: Final answer
    x = 709,658,133.30

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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.