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Finding the Fourth Proportional to 485,292,030.30, 727,938,045.45 and 485,292,030.30

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Solution

The fourth proportional to 485,292,030.30, 727,938,045.45 and 485,292,030.30 is: 727,938,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,292,030.30 : 727,938,045.45 = 485,292,030.30 : x
  2. Step 2: Convert to fraction form
    485,292,030.30/727,938,045.45 = 485,292,030.30/x
  3. Step 3: Cross multiply
    485,292,030.30x = 727,938,045.45 × 485,292,030.30
  4. Step 4: Simplify right side
    485,292,030.30x = 353,262,532,009,044,224
  5. Step 5: Solve for x
    x = 353,262,532,009,044,224/485,292,030.30
  6. Step 6: Final answer
    x = 727,938,045.45

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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.