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Finding the Fourth Proportional to 13,941,037,407.60, 19,566,429,973.20 and 13,941,037,407.60

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Solution

The fourth proportional to 13,941,037,407.60, 19,566,429,973.20 and 13,941,037,407.60 is: 19,566,429,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,941,037,407.60 : 19,566,429,973.20 = 13,941,037,407.60 : x
  2. Step 2: Convert to fraction form
    13,941,037,407.60/19,566,429,973.20 = 13,941,037,407.60/x
  3. Step 3: Cross multiply
    13,941,037,407.60x = 19,566,429,973.20 × 13,941,037,407.60
  4. Step 4: Simplify right side
    13,941,037,407.60x = 272,776,332,189,567,090,688
  5. Step 5: Solve for x
    x = 272,776,332,189,567,090,688/13,941,037,407.60
  6. Step 6: Final answer
    x = 19,566,429,973.20

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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.