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Finding the Fourth Proportional to 31,346,808,412.80, 44,009,506,334.40 and 31,346,808,412.80

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Solution

The fourth proportional to 31,346,808,412.80, 44,009,506,334.40 and 31,346,808,412.80 is: 44,009,506,334.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,346,808,412.80 : 44,009,506,334.40 = 31,346,808,412.80 : x
  2. Step 2: Convert to fraction form
    31,346,808,412.80/44,009,506,334.40 = 31,346,808,412.80/x
  3. Step 3: Cross multiply
    31,346,808,412.80x = 44,009,506,334.40 × 31,346,808,412.80
  4. Step 4: Simplify right side
    31,346,808,412.80x = 1,379,557,563,406,344,781,824
  5. Step 5: Solve for x
    x = 1,379,557,563,406,344,781,824/31,346,808,412.80
  6. Step 6: Final answer
    x = 44,009,506,334.40

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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.