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Finding the Fourth Proportional to 289,615,663,765.60, 434,423,495,648.40 and 289,615,663,765.60

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Solution

The fourth proportional to 289,615,663,765.60, 434,423,495,648.40 and 289,615,663,765.60 is: 434,423,495,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,615,663,765.60 : 434,423,495,648.40 = 289,615,663,765.60 : x
  2. Step 2: Convert to fraction form
    289,615,663,765.60/434,423,495,648.40 = 289,615,663,765.60/x
  3. Step 3: Cross multiply
    289,615,663,765.60x = 434,423,495,648.40 × 289,615,663,765.60
  4. Step 4: Simplify right side
    289,615,663,765.60x = 125,815,849,047,583,610,634,240
  5. Step 5: Solve for x
    x = 125,815,849,047,583,610,634,240/289,615,663,765.60
  6. Step 6: Final answer
    x = 434,423,495,648.40

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1.5x scale

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.