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Finding the Fourth Proportional to 507,445,349.20, 708,892,938.80 and 507,445,349.20

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Solution

The fourth proportional to 507,445,349.20, 708,892,938.80 and 507,445,349.20 is: 708,892,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,445,349.20 : 708,892,938.80 = 507,445,349.20 : x
  2. Step 2: Convert to fraction form
    507,445,349.20/708,892,938.80 = 507,445,349.20/x
  3. Step 3: Cross multiply
    507,445,349.20x = 708,892,938.80 × 507,445,349.20
  4. Step 4: Simplify right side
    507,445,349.20x = 359,724,424,874,780,224
  5. Step 5: Solve for x
    x = 359,724,424,874,780,224/507,445,349.20
  6. Step 6: Final answer
    x = 708,892,938.80

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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.