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Finding the Fourth Proportional to 13,700,460,798.15, 19,139,320,265.25 and 13,700,460,798.15

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Solution

The fourth proportional to 13,700,460,798.15, 19,139,320,265.25 and 13,700,460,798.15 is: 19,139,320,265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700,460,798.15 : 19,139,320,265.25 = 13,700,460,798.15 : x
  2. Step 2: Convert to fraction form
    13,700,460,798.15/19,139,320,265.25 = 13,700,460,798.15/x
  3. Step 3: Cross multiply
    13,700,460,798.15x = 19,139,320,265.25 × 13,700,460,798.15
  4. Step 4: Simplify right side
    13,700,460,798.15x = 262,217,506,997,295,480,832
  5. Step 5: Solve for x
    x = 262,217,506,997,295,480,832/13,700,460,798.15
  6. Step 6: Final answer
    x = 19,139,320,265.25

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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.