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Finding the Fourth Proportional to 427,742,208,064.80, 641,613,312,097.20 and 427,742,208,064.80

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Solution

The fourth proportional to 427,742,208,064.80, 641,613,312,097.20 and 427,742,208,064.80 is: 641,613,312,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,742,208,064.80 : 641,613,312,097.20 = 427,742,208,064.80 : x
  2. Step 2: Convert to fraction form
    427,742,208,064.80/641,613,312,097.20 = 427,742,208,064.80/x
  3. Step 3: Cross multiply
    427,742,208,064.80x = 641,613,312,097.20 × 427,742,208,064.80
  4. Step 4: Simplify right side
    427,742,208,064.80x = 274,445,094,840,225,945,878,528
  5. Step 5: Solve for x
    x = 274,445,094,840,225,945,878,528/427,742,208,064.80
  6. Step 6: Final answer
    x = 641,613,312,097.20

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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.