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Finding the Fourth Proportional to 314,973,670.55, 472,460,505.83 and 314,973,670.55

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Solution

The fourth proportional to 314,973,670.55, 472,460,505.83 and 314,973,670.55 is: 472,460,505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,973,670.55 : 472,460,505.83 = 314,973,670.55 : x
  2. Step 2: Convert to fraction form
    314,973,670.55/472,460,505.83 = 314,973,670.55/x
  3. Step 3: Cross multiply
    314,973,670.55x = 472,460,505.83 × 314,973,670.55
  4. Step 4: Simplify right side
    314,973,670.55x = 148,812,619,711,184,768
  5. Step 5: Solve for x
    x = 148,812,619,711,184,768/314,973,670.55
  6. Step 6: Final answer
    x = 472,460,505.83

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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.