Finding the Fourth Proportional to 535,022,580,701.16, 738,331,281,886.66 and 294,434,457,032.14
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Solution
The fourth proportional to 535,022,580,701.16, 738,331,281,886.66 and 294,434,457,032.14 is: 406,319,617,028.59
Step by Step Solution
- Step 1: Write the proportion equation
535,022,580,701.16 : 738,331,281,886.66 = 294,434,457,032.14 : x - Step 2: Convert to fraction form
535,022,580,701.16/738,331,281,886.66 = 294,434,457,032.14/x - Step 3: Cross multiply
535,022,580,701.16x = 738,331,281,886.66 × 294,434,457,032.14 - Step 4: Simplify right side
535,022,580,701.16x = 217,390,170,092,142,654,914,560 - Step 5: Solve for x
x = 217,390,170,092,142,654,914,560/535,022,580,701.16 - Step 6: Final answer
x = 406,319,617,028.59
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.