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Finding the Fourth Proportional to 525,851,059, 725,695,828.41 and 290,897,668.66

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Solution

The fourth proportional to 525,851,059, 725,695,828.41 and 290,897,668.66 is: 401,450,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,851,059 : 725,695,828.41 = 290,897,668.66 : x
  2. Step 2: Convert to fraction form
    525,851,059/725,695,828.41 = 290,897,668.66/x
  3. Step 3: Cross multiply
    525,851,059x = 725,695,828.41 × 290,897,668.66
  4. Step 4: Simplify right side
    525,851,059x = 211,103,224,640,756,416
  5. Step 5: Solve for x
    x = 211,103,224,640,756,416/525,851,059
  6. Step 6: Final answer
    x = 401,450,602.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.