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Finding the Fourth Proportional to 472,495,409.70, 708,743,114.55 and 472,495,409.70

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Solution

The fourth proportional to 472,495,409.70, 708,743,114.55 and 472,495,409.70 is: 708,743,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,495,409.70 : 708,743,114.55 = 472,495,409.70 : x
  2. Step 2: Convert to fraction form
    472,495,409.70/708,743,114.55 = 472,495,409.70/x
  3. Step 3: Cross multiply
    472,495,409.70x = 708,743,114.55 × 472,495,409.70
  4. Step 4: Simplify right side
    472,495,409.70x = 334,877,868,281,356,224
  5. Step 5: Solve for x
    x = 334,877,868,281,356,224/472,495,409.70
  6. Step 6: Final answer
    x = 708,743,114.55

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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.