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Finding the Fourth Proportional to 315,945,644.84, 473,939,262 and 82,782,066.20

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Solution

The fourth proportional to 315,945,644.84, 473,939,262 and 82,782,066.20 is: 124,178,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,945,644.84 : 473,939,262 = 82,782,066.20 : x
  2. Step 2: Convert to fraction form
    315,945,644.84/473,939,262 = 82,782,066.20/x
  3. Step 3: Cross multiply
    315,945,644.84x = 473,939,262 × 82,782,066.20
  4. Step 4: Simplify right side
    315,945,644.84x = 39,233,671,361,663,144
  5. Step 5: Solve for x
    x = 39,233,671,361,663,144/315,945,644.84
  6. Step 6: Final answer
    x = 124,178,547.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.