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Finding the Fourth Proportional to 468,645,502.90, 702,968,254.35 and 468,645,502.90

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Solution

The fourth proportional to 468,645,502.90, 702,968,254.35 and 468,645,502.90 is: 702,968,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,645,502.90 : 702,968,254.35 = 468,645,502.90 : x
  2. Step 2: Convert to fraction form
    468,645,502.90/702,968,254.35 = 468,645,502.90/x
  3. Step 3: Cross multiply
    468,645,502.90x = 702,968,254.35 × 468,645,502.90
  4. Step 4: Simplify right side
    468,645,502.90x = 329,442,911,082,590,848
  5. Step 5: Solve for x
    x = 329,442,911,082,590,848/468,645,502.90
  6. Step 6: Final answer
    x = 702,968,254.35

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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.