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Finding the Fourth Proportional to 507,142,493.40, 760,713,740.10 and 507,142,493.40

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Solution

The fourth proportional to 507,142,493.40, 760,713,740.10 and 507,142,493.40 is: 760,713,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,142,493.40 : 760,713,740.10 = 507,142,493.40 : x
  2. Step 2: Convert to fraction form
    507,142,493.40/760,713,740.10 = 507,142,493.40/x
  3. Step 3: Cross multiply
    507,142,493.40x = 760,713,740.10 × 507,142,493.40
  4. Step 4: Simplify right side
    507,142,493.40x = 385,790,262,917,953,536
  5. Step 5: Solve for x
    x = 385,790,262,917,953,536/507,142,493.40
  6. Step 6: Final answer
    x = 760,713,740.10

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1.5x scale

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.