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Finding the Fourth Proportional to 524,556,005.40, 735,453,361.80 and 524,556,005.40

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Solution

The fourth proportional to 524,556,005.40, 735,453,361.80 and 524,556,005.40 is: 735,453,361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,556,005.40 : 735,453,361.80 = 524,556,005.40 : x
  2. Step 2: Convert to fraction form
    524,556,005.40/735,453,361.80 = 524,556,005.40/x
  3. Step 3: Cross multiply
    524,556,005.40x = 735,453,361.80 × 524,556,005.40
  4. Step 4: Simplify right side
    524,556,005.40x = 385,786,477,623,808,896
  5. Step 5: Solve for x
    x = 385,786,477,623,808,896/524,556,005.40
  6. Step 6: Final answer
    x = 735,453,361.80

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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.