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Finding the Fourth Proportional to 507,438,038.70, 708,882,704.10 and 507,438,038.70

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Solution

The fourth proportional to 507,438,038.70, 708,882,704.10 and 507,438,038.70 is: 708,882,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,438,038.70 : 708,882,704.10 = 507,438,038.70 : x
  2. Step 2: Convert to fraction form
    507,438,038.70/708,882,704.10 = 507,438,038.70/x
  3. Step 3: Cross multiply
    507,438,038.70x = 708,882,704.10 × 507,438,038.70
  4. Step 4: Simplify right side
    507,438,038.70x = 359,714,049,036,856,448
  5. Step 5: Solve for x
    x = 359,714,049,036,856,448/507,438,038.70
  6. Step 6: Final answer
    x = 708,882,704.10

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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.