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Finding the Fourth Proportional to 289,602,001.30, 434,403,001.95 and 289,602,001.30

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Solution

The fourth proportional to 289,602,001.30, 434,403,001.95 and 289,602,001.30 is: 434,403,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,602,001.30 : 434,403,001.95 = 289,602,001.30 : x
  2. Step 2: Convert to fraction form
    289,602,001.30/434,403,001.95 = 289,602,001.30/x
  3. Step 3: Cross multiply
    289,602,001.30x = 434,403,001.95 × 289,602,001.30
  4. Step 4: Simplify right side
    289,602,001.30x = 125,803,978,735,447,808
  5. Step 5: Solve for x
    x = 125,803,978,735,447,808/289,602,001.30
  6. Step 6: Final answer
    x = 434,403,001.95

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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.