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Finding the Fourth Proportional to 448,470,903.90, 671,430,897.45 and 448,470,903.90

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Solution

The fourth proportional to 448,470,903.90, 671,430,897.45 and 448,470,903.90 is: 671,430,897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,470,903.90 : 671,430,897.45 = 448,470,903.90 : x
  2. Step 2: Convert to fraction form
    448,470,903.90/671,430,897.45 = 448,470,903.90/x
  3. Step 3: Cross multiply
    448,470,903.90x = 671,430,897.45 × 448,470,903.90
  4. Step 4: Simplify right side
    448,470,903.90x = 301,117,221,485,789,696
  5. Step 5: Solve for x
    x = 301,117,221,485,789,696/448,470,903.90
  6. Step 6: Final answer
    x = 671,430,897.45

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Why These Related Problems?

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