Finding the Fourth Proportional to 816,710,547,595.25, 1,127,159,386,294.90 and 464,829,034,417.38
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Solution
The fourth proportional to 816,710,547,595.25, 1,127,159,386,294.90 and 464,829,034,417.38 is: 641,520,316,724.99
Step by Step Solution
- Step 1: Write the proportion equation
816,710,547,595.25 : 1,127,159,386,294.90 = 464,829,034,417.38 : x - Step 2: Convert to fraction form
816,710,547,595.25/1,127,159,386,294.90 = 464,829,034,417.38/x - Step 3: Cross multiply
816,710,547,595.25x = 1,127,159,386,294.90 × 464,829,034,417.38 - Step 4: Simplify right side
816,710,547,595.25x = 523,936,409,165,944,925,978,624 - Step 5: Solve for x
x = 523,936,409,165,944,925,978,624/816,710,547,595.25 - Step 6: Final answer
x = 641,520,316,724.99
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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.