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Finding the Fourth Proportional to 538,877,600.10, 808,316,400.15 and 538,877,600.10

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Solution

The fourth proportional to 538,877,600.10, 808,316,400.15 and 538,877,600.10 is: 808,316,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,877,600.10 : 808,316,400.15 = 538,877,600.10 : x
  2. Step 2: Convert to fraction form
    538,877,600.10/808,316,400.15 = 538,877,600.10/x
  3. Step 3: Cross multiply
    538,877,600.10x = 808,316,400.15 × 538,877,600.10
  4. Step 4: Simplify right side
    538,877,600.10x = 435,583,601,834,303,296
  5. Step 5: Solve for x
    x = 435,583,601,834,303,296/538,877,600.10
  6. Step 6: Final answer
    x = 808,316,400.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.