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Finding the Fourth Proportional to 105,308,999.70, 157,680,064.35 and 105,308,999.70

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Solution

The fourth proportional to 105,308,999.70, 157,680,064.35 and 105,308,999.70 is: 157,680,064.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,308,999.70 : 157,680,064.35 = 105,308,999.70 : x
  2. Step 2: Convert to fraction form
    105,308,999.70/157,680,064.35 = 105,308,999.70/x
  3. Step 3: Cross multiply
    105,308,999.70x = 157,680,064.35 × 105,308,999.70
  4. Step 4: Simplify right side
    105,308,999.70x = 16,605,129,849,330,130
  5. Step 5: Solve for x
    x = 16,605,129,849,330,130/105,308,999.70
  6. Step 6: Final answer
    x = 157,680,064.35

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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.