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Finding the Fourth Proportional to 314,448,388,940.90, 471,672,583,411.35 and 314,448,388,940.90

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Solution

The fourth proportional to 314,448,388,940.90, 471,672,583,411.35 and 314,448,388,940.90 is: 471,672,583,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,448,388,940.90 : 471,672,583,411.35 = 314,448,388,940.90 : x
  2. Step 2: Convert to fraction form
    314,448,388,940.90/471,672,583,411.35 = 314,448,388,940.90/x
  3. Step 3: Cross multiply
    314,448,388,940.90x = 471,672,583,411.35 × 314,448,388,940.90
  4. Step 4: Simplify right side
    314,448,388,940.90x = 148,316,683,961,291,283,365,888
  5. Step 5: Solve for x
    x = 148,316,683,961,291,283,365,888/314,448,388,940.90
  6. Step 6: Final answer
    x = 471,672,583,411.35

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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.