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Finding the Fourth Proportional to 507,438,045.45, 708,882,713.55 and 507,438,045.45

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Solution

The fourth proportional to 507,438,045.45, 708,882,713.55 and 507,438,045.45 is: 708,882,713.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,438,045.45 : 708,882,713.55 = 507,438,045.45 : x
  2. Step 2: Convert to fraction form
    507,438,045.45/708,882,713.55 = 507,438,045.45/x
  3. Step 3: Cross multiply
    507,438,045.45x = 708,882,713.55 × 507,438,045.45
  4. Step 4: Simplify right side
    507,438,045.45x = 359,714,058,617,104,192
  5. Step 5: Solve for x
    x = 359,714,058,617,104,192/507,438,045.45
  6. Step 6: Final answer
    x = 708,882,713.55

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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.