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Finding the Fourth Proportional to 448,457,479,969.35, 626,665,009,495.65 and 448,457,479,969.35

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Solution

The fourth proportional to 448,457,479,969.35, 626,665,009,495.65 and 448,457,479,969.35 is: 626,665,009,495.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,457,479,969.35 : 626,665,009,495.65 = 448,457,479,969.35 : x
  2. Step 2: Convert to fraction form
    448,457,479,969.35/626,665,009,495.65 = 448,457,479,969.35/x
  3. Step 3: Cross multiply
    448,457,479,969.35x = 626,665,009,495.65 × 448,457,479,969.35
  4. Step 4: Simplify right side
    448,457,479,969.35x = 281,032,610,943,387,970,830,336
  5. Step 5: Solve for x
    x = 281,032,610,943,387,970,830,336/448,457,479,969.35
  6. Step 6: Final answer
    x = 626,665,009,495.65

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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.