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Finding the Fourth Proportional to 478,314,496.80, 716,338,004.40 and 478,314,496.80

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Solution

The fourth proportional to 478,314,496.80, 716,338,004.40 and 478,314,496.80 is: 716,338,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,314,496.80 : 716,338,004.40 = 478,314,496.80 : x
  2. Step 2: Convert to fraction form
    478,314,496.80/716,338,004.40 = 478,314,496.80/x
  3. Step 3: Cross multiply
    478,314,496.80x = 716,338,004.40 × 478,314,496.80
  4. Step 4: Simplify right side
    478,314,496.80x = 342,634,852,113,302,208
  5. Step 5: Solve for x
    x = 342,634,852,113,302,208/478,314,496.80
  6. Step 6: Final answer
    x = 716,338,004.40

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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.