Finding the Fourth Proportional to 816,710,547,610.96, 1,127,159,386,316.50 and 464,829,034,433.14
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Solution
The fourth proportional to 816,710,547,610.96, 1,127,159,386,316.50 and 464,829,034,433.14 is: 641,520,316,746.70
Step by Step Solution
- Step 1: Write the proportion equation
816,710,547,610.96 : 1,127,159,386,316.50 = 464,829,034,433.14 : x - Step 2: Convert to fraction form
816,710,547,610.96/1,127,159,386,316.50 = 464,829,034,433.14/x - Step 3: Cross multiply
816,710,547,610.96x = 1,127,159,386,316.50 × 464,829,034,433.14 - Step 4: Simplify right side
816,710,547,610.96x = 523,936,409,193,749,336,293,376 - Step 5: Solve for x
x = 523,936,409,193,749,336,293,376/816,710,547,610.96 - Step 6: Final answer
x = 641,520,316,746.70
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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.