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Finding the Fourth Proportional to 180,864,176.40, 253,549,969.20 and 180,864,176.40

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Solution

The fourth proportional to 180,864,176.40, 253,549,969.20 and 180,864,176.40 is: 253,549,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,864,176.40 : 253,549,969.20 = 180,864,176.40 : x
  2. Step 2: Convert to fraction form
    180,864,176.40/253,549,969.20 = 180,864,176.40/x
  3. Step 3: Cross multiply
    180,864,176.40x = 253,549,969.20 × 180,864,176.40
  4. Step 4: Simplify right side
    180,864,176.40x = 45,858,106,355,603,368
  5. Step 5: Solve for x
    x = 45,858,106,355,603,368/180,864,176.40
  6. Step 6: Final answer
    x = 253,549,969.20

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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.